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Finding the Fourth Proportional to 456,005.60, 684,008.40 and 140,559.20

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Solution

The fourth proportional to 456,005.60, 684,008.40 and 140,559.20 is: 210,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,005.60 : 684,008.40 = 140,559.20 : x
  2. Step 2: Convert to fraction form
    456,005.60/684,008.40 = 140,559.20/x
  3. Step 3: Cross multiply
    456,005.60x = 684,008.40 × 140,559.20
  4. Step 4: Simplify right side
    456,005.60x = 96,143,673,497.28
  5. Step 5: Solve for x
    x = 96,143,673,497.28/456,005.60
  6. Step 6: Final answer
    x = 210,838.80

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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.