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Finding the Fourth Proportional to 510,221.13, 765,442.41 and 155,225.92

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Solution

The fourth proportional to 510,221.13, 765,442.41 and 155,225.92 is: 232,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,221.13 : 765,442.41 = 155,225.92 : x
  2. Step 2: Convert to fraction form
    510,221.13/765,442.41 = 155,225.92/x
  3. Step 3: Cross multiply
    510,221.13x = 765,442.41 × 155,225.92
  4. Step 4: Simplify right side
    510,221.13x = 118,816,499,803.56
  5. Step 5: Solve for x
    x = 118,816,499,803.56/510,221.13
  6. Step 6: Final answer
    x = 232,872.56

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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.