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Finding the Fourth Proportional to 499,038.78, 748,561.41 and 199,544.52

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Solution

The fourth proportional to 499,038.78, 748,561.41 and 199,544.52 is: 299,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,038.78 : 748,561.41 = 199,544.52 : x
  2. Step 2: Convert to fraction form
    499,038.78/748,561.41 = 199,544.52/x
  3. Step 3: Cross multiply
    499,038.78x = 748,561.41 × 199,544.52
  4. Step 4: Simplify right side
    499,038.78x = 149,371,327,248.97
  5. Step 5: Solve for x
    x = 149,371,327,248.97/499,038.78
  6. Step 6: Final answer
    x = 299,318.08

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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.