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Finding the Fourth Proportional to 408,565.56, 612,848.34 and 128,105.40

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Solution

The fourth proportional to 408,565.56, 612,848.34 and 128,105.40 is: 192,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,565.56 : 612,848.34 = 128,105.40 : x
  2. Step 2: Convert to fraction form
    408,565.56/612,848.34 = 128,105.40/x
  3. Step 3: Cross multiply
    408,565.56x = 612,848.34 × 128,105.40
  4. Step 4: Simplify right side
    408,565.56x = 78,509,181,735.04
  5. Step 5: Solve for x
    x = 78,509,181,735.04/408,565.56
  6. Step 6: Final answer
    x = 192,158.10

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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.