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Finding the Fourth Proportional to 398,215.29, 597,007.17 and 208,639.29

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Solution

The fourth proportional to 398,215.29, 597,007.17 and 208,639.29 is: 312,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,215.29 : 597,007.17 = 208,639.29 : x
  2. Step 2: Convert to fraction form
    398,215.29/597,007.17 = 208,639.29/x
  3. Step 3: Cross multiply
    398,215.29x = 597,007.17 × 208,639.29
  4. Step 4: Simplify right side
    398,215.29x = 124,559,152,073.71
  5. Step 5: Solve for x
    x = 124,559,152,073.71/398,215.29
  6. Step 6: Final answer
    x = 312,793.49

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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.