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Finding the Fourth Proportional to 410,792, 616,291.84 and 115,304

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Solution

The fourth proportional to 410,792, 616,291.84 and 115,304 is: 172,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,792 : 616,291.84 = 115,304 : x
  2. Step 2: Convert to fraction form
    410,792/616,291.84 = 115,304/x
  3. Step 3: Cross multiply
    410,792x = 616,291.84 × 115,304
  4. Step 4: Simplify right side
    410,792x = 71,060,914,319.36
  5. Step 5: Solve for x
    x = 71,060,914,319.36/410,792
  6. Step 6: Final answer
    x = 172,985.15

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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.