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Finding the Fourth Proportional to 398,886.96, 598,155 and 149,394

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Solution

The fourth proportional to 398,886.96, 598,155 and 149,394 is: 224,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,886.96 : 598,155 = 149,394 : x
  2. Step 2: Convert to fraction form
    398,886.96/598,155 = 149,394/x
  3. Step 3: Cross multiply
    398,886.96x = 598,155 × 149,394
  4. Step 4: Simplify right side
    398,886.96x = 89,360,768,070
  5. Step 5: Solve for x
    x = 89,360,768,070/398,886.96
  6. Step 6: Final answer
    x = 224,025.29

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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.