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Finding the Fourth Proportional to 657,951.80, 986,960.10 and 343,023.80

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Solution

The fourth proportional to 657,951.80, 986,960.10 and 343,023.80 is: 514,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,951.80 : 986,960.10 = 343,023.80 : x
  2. Step 2: Convert to fraction form
    657,951.80/986,960.10 = 343,023.80/x
  3. Step 3: Cross multiply
    657,951.80x = 986,960.10 × 343,023.80
  4. Step 4: Simplify right side
    657,951.80x = 338,550,803,950.38
  5. Step 5: Solve for x
    x = 338,550,803,950.38/657,951.80
  6. Step 6: Final answer
    x = 514,552.59

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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.