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Finding the Fourth Proportional to 508,998, 702,446.40 and 282,658.08

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Solution

The fourth proportional to 508,998, 702,446.40 and 282,658.08 is: 390,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,998 : 702,446.40 = 282,658.08 : x
  2. Step 2: Convert to fraction form
    508,998/702,446.40 = 282,658.08/x
  3. Step 3: Cross multiply
    508,998x = 702,446.40 × 282,658.08
  4. Step 4: Simplify right side
    508,998x = 198,552,150,726.91
  5. Step 5: Solve for x
    x = 198,552,150,726.91/508,998
  6. Step 6: Final answer
    x = 390,084.34

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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.