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Finding the Fourth Proportional to 398,427.86, 597,732.01 and 145,707.26

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Solution

The fourth proportional to 398,427.86, 597,732.01 and 145,707.26 is: 218,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,427.86 : 597,732.01 = 145,707.26 : x
  2. Step 2: Convert to fraction form
    398,427.86/597,732.01 = 145,707.26/x
  3. Step 3: Cross multiply
    398,427.86x = 597,732.01 × 145,707.26
  4. Step 4: Simplify right side
    398,427.86x = 87,093,890,038.46
  5. Step 5: Solve for x
    x = 87,093,890,038.46/398,427.86
  6. Step 6: Final answer
    x = 218,593.87

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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.