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Finding the Fourth Proportional to 472,068.74, 708,720.40 and 280,293.20

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Solution

The fourth proportional to 472,068.74, 708,720.40 and 280,293.20 is: 420,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,068.74 : 708,720.40 = 280,293.20 : x
  2. Step 2: Convert to fraction form
    472,068.74/708,720.40 = 280,293.20/x
  3. Step 3: Cross multiply
    472,068.74x = 708,720.40 × 280,293.20
  4. Step 4: Simplify right side
    472,068.74x = 198,649,508,821.28
  5. Step 5: Solve for x
    x = 198,649,508,821.28/472,068.74
  6. Step 6: Final answer
    x = 420,806.32

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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.