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Finding the Fourth Proportional to 456,072.90, 684,109.35 and 442,950.90

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Solution

The fourth proportional to 456,072.90, 684,109.35 and 442,950.90 is: 664,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,072.90 : 684,109.35 = 442,950.90 : x
  2. Step 2: Convert to fraction form
    456,072.90/684,109.35 = 442,950.90/x
  3. Step 3: Cross multiply
    456,072.90x = 684,109.35 × 442,950.90
  4. Step 4: Simplify right side
    456,072.90x = 303,026,852,280.92
  5. Step 5: Solve for x
    x = 303,026,852,280.92/456,072.90
  6. Step 6: Final answer
    x = 664,426.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.