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Finding the Fourth Proportional to 398,259.20, 597,158.40 and 148,966.40

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Solution

The fourth proportional to 398,259.20, 597,158.40 and 148,966.40 is: 223,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,259.20 : 597,158.40 = 148,966.40 : x
  2. Step 2: Convert to fraction form
    398,259.20/597,158.40 = 148,966.40/x
  3. Step 3: Cross multiply
    398,259.20x = 597,158.40 × 148,966.40
  4. Step 4: Simplify right side
    398,259.20x = 88,956,537,077.76
  5. Step 5: Solve for x
    x = 88,956,537,077.76/398,259.20
  6. Step 6: Final answer
    x = 223,363.42

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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.