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Finding the Fourth Proportional to 657,535.70, 985,756.80 and 278,747.30

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Solution

The fourth proportional to 657,535.70, 985,756.80 and 278,747.30 is: 417,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,535.70 : 985,756.80 = 278,747.30 : x
  2. Step 2: Convert to fraction form
    657,535.70/985,756.80 = 278,747.30/x
  3. Step 3: Cross multiply
    657,535.70x = 985,756.80 × 278,747.30
  4. Step 4: Simplify right side
    657,535.70x = 274,777,046,456.64
  5. Step 5: Solve for x
    x = 274,777,046,456.64/657,535.70
  6. Step 6: Final answer
    x = 417,889.17

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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.