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Finding the Fourth Proportional to 425,712.78, 638,634.78 and 145,164.42

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Solution

The fourth proportional to 425,712.78, 638,634.78 and 145,164.42 is: 217,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,712.78 : 638,634.78 = 145,164.42 : x
  2. Step 2: Convert to fraction form
    425,712.78/638,634.78 = 145,164.42/x
  3. Step 3: Cross multiply
    425,712.78x = 638,634.78 × 145,164.42
  4. Step 4: Simplify right side
    425,712.78x = 92,707,047,430.53
  5. Step 5: Solve for x
    x = 92,707,047,430.53/425,712.78
  6. Step 6: Final answer
    x = 217,769.00

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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.