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Finding the Fourth Proportional to 518,178.97, 715,068.10 and 288,724.40

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Solution

The fourth proportional to 518,178.97, 715,068.10 and 288,724.40 is: 398,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,178.97 : 715,068.10 = 288,724.40 : x
  2. Step 2: Convert to fraction form
    518,178.97/715,068.10 = 288,724.40/x
  3. Step 3: Cross multiply
    518,178.97x = 715,068.10 × 288,724.40
  4. Step 4: Simplify right side
    518,178.97x = 206,457,607,598.71
  5. Step 5: Solve for x
    x = 206,457,607,598.71/518,178.97
  6. Step 6: Final answer
    x = 398,429.15

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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.