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Finding the Fourth Proportional to 657,117.30, 985,708.35 and 342,189.30

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Solution

The fourth proportional to 657,117.30, 985,708.35 and 342,189.30 is: 513,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,117.30 : 985,708.35 = 342,189.30 : x
  2. Step 2: Convert to fraction form
    657,117.30/985,708.35 = 342,189.30/x
  3. Step 3: Cross multiply
    657,117.30x = 985,708.35 × 342,189.30
  4. Step 4: Simplify right side
    657,117.30x = 337,298,850,290.66
  5. Step 5: Solve for x
    x = 337,298,850,290.66/657,117.30
  6. Step 6: Final answer
    x = 513,300.82

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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.