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Finding the Fourth Proportional to 656,603.85, 985,348.80 and 257,194.78

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Solution

The fourth proportional to 656,603.85, 985,348.80 and 257,194.78 is: 385,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,603.85 : 985,348.80 = 257,194.78 : x
  2. Step 2: Convert to fraction form
    656,603.85/985,348.80 = 257,194.78/x
  3. Step 3: Cross multiply
    656,603.85x = 985,348.80 × 257,194.78
  4. Step 4: Simplify right side
    656,603.85x = 253,426,565,375.89
  5. Step 5: Solve for x
    x = 253,426,565,375.89/656,603.85
  6. Step 6: Final answer
    x = 385,965.70

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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.