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Finding the Fourth Proportional to 456,203.70, 684,305.55 and 405,465.30

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Solution

The fourth proportional to 456,203.70, 684,305.55 and 405,465.30 is: 608,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,203.70 : 684,305.55 = 405,465.30 : x
  2. Step 2: Convert to fraction form
    456,203.70/684,305.55 = 405,465.30/x
  3. Step 3: Cross multiply
    456,203.70x = 684,305.55 × 405,465.30
  4. Step 4: Simplify right side
    456,203.70x = 277,462,155,122.42
  5. Step 5: Solve for x
    x = 277,462,155,122.42/456,203.70
  6. Step 6: Final answer
    x = 608,197.95

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Similar ratio
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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.