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Finding the Fourth Proportional to 398,141.20, 597,442.20 and 148,848.40

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Solution

The fourth proportional to 398,141.20, 597,442.20 and 148,848.40 is: 223,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,141.20 : 597,442.20 = 148,848.40 : x
  2. Step 2: Convert to fraction form
    398,141.20/597,442.20 = 148,848.40/x
  3. Step 3: Cross multiply
    398,141.20x = 597,442.20 × 148,848.40
  4. Step 4: Simplify right side
    398,141.20x = 88,928,315,562.48
  5. Step 5: Solve for x
    x = 88,928,315,562.48/398,141.20
  6. Step 6: Final answer
    x = 223,358.74

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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.