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Finding the Fourth Proportional to 398,013.60, 597,020.40 and 148,682.40

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Solution

The fourth proportional to 398,013.60, 597,020.40 and 148,682.40 is: 223,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,013.60 : 597,020.40 = 148,682.40 : x
  2. Step 2: Convert to fraction form
    398,013.60/597,020.40 = 148,682.40/x
  3. Step 3: Cross multiply
    398,013.60x = 597,020.40 × 148,682.40
  4. Step 4: Simplify right side
    398,013.60x = 88,766,425,920.96
  5. Step 5: Solve for x
    x = 88,766,425,920.96/398,013.60
  6. Step 6: Final answer
    x = 223,023.60

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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.