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Finding the Fourth Proportional to 316,937.97, 475,403.30 and 77,053.23

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Solution

The fourth proportional to 316,937.97, 475,403.30 and 77,053.23 is: 115,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,937.97 : 475,403.30 = 77,053.23 : x
  2. Step 2: Convert to fraction form
    316,937.97/475,403.30 = 77,053.23/x
  3. Step 3: Cross multiply
    316,937.97x = 475,403.30 × 77,053.23
  4. Step 4: Simplify right side
    316,937.97x = 36,631,359,432.39
  5. Step 5: Solve for x
    x = 36,631,359,432.39/316,937.97
  6. Step 6: Final answer
    x = 115,578.96

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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.