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Finding the Fourth Proportional to 460,691.60, 635,567.14 and 305,715.98

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Solution

The fourth proportional to 460,691.60, 635,567.14 and 305,715.98 is: 421,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,691.60 : 635,567.14 = 305,715.98 : x
  2. Step 2: Convert to fraction form
    460,691.60/635,567.14 = 305,715.98/x
  3. Step 3: Cross multiply
    460,691.60x = 635,567.14 × 305,715.98
  4. Step 4: Simplify right side
    460,691.60x = 194,303,031,060.90
  5. Step 5: Solve for x
    x = 194,303,031,060.90/460,691.60
  6. Step 6: Final answer
    x = 421,763.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.