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Finding the Fourth Proportional to 266,938.68, 400,470.30 and 77,403

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Solution

The fourth proportional to 266,938.68, 400,470.30 and 77,403 is: 116,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,938.68 : 400,470.30 = 77,403 : x
  2. Step 2: Convert to fraction form
    266,938.68/400,470.30 = 77,403/x
  3. Step 3: Cross multiply
    266,938.68x = 400,470.30 × 77,403
  4. Step 4: Simplify right side
    266,938.68x = 30,997,602,630.90
  5. Step 5: Solve for x
    x = 30,997,602,630.90/266,938.68
  6. Step 6: Final answer
    x = 116,122.56

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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.