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Finding the Fourth Proportional to 518,385.22, 715,284.87 and 288,892.24

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Solution

The fourth proportional to 518,385.22, 715,284.87 and 288,892.24 is: 398,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,385.22 : 715,284.87 = 288,892.24 : x
  2. Step 2: Convert to fraction form
    518,385.22/715,284.87 = 288,892.24/x
  3. Step 3: Cross multiply
    518,385.22x = 715,284.87 × 288,892.24
  4. Step 4: Simplify right side
    518,385.22x = 206,640,248,332.41
  5. Step 5: Solve for x
    x = 206,640,248,332.41/518,385.22
  6. Step 6: Final answer
    x = 398,622.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.