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Finding the Fourth Proportional to 318,151.48, 477,153.42 and 140,561.68

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Solution

The fourth proportional to 318,151.48, 477,153.42 and 140,561.68 is: 210,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,151.48 : 477,153.42 = 140,561.68 : x
  2. Step 2: Convert to fraction form
    318,151.48/477,153.42 = 140,561.68/x
  3. Step 3: Cross multiply
    318,151.48x = 477,153.42 × 140,561.68
  4. Step 4: Simplify right side
    318,151.48x = 67,069,486,332.95
  5. Step 5: Solve for x
    x = 67,069,486,332.95/318,151.48
  6. Step 6: Final answer
    x = 210,809.91

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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.