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Finding the Fourth Proportional to 510,428.58, 765,753.57 and 155,433.30

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Solution

The fourth proportional to 510,428.58, 765,753.57 and 155,433.30 is: 233,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,428.58 : 765,753.57 = 155,433.30 : x
  2. Step 2: Convert to fraction form
    510,428.58/765,753.57 = 155,433.30/x
  3. Step 3: Cross multiply
    510,428.58x = 765,753.57 × 155,433.30
  4. Step 4: Simplify right side
    510,428.58x = 119,023,604,371.88
  5. Step 5: Solve for x
    x = 119,023,604,371.88/510,428.58
  6. Step 6: Final answer
    x = 233,183.66

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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.