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Finding the Fourth Proportional to 408,393.16, 612,765.06 and 142,008.40

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Solution

The fourth proportional to 408,393.16, 612,765.06 and 142,008.40 is: 213,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,393.16 : 612,765.06 = 142,008.40 : x
  2. Step 2: Convert to fraction form
    408,393.16/612,765.06 = 142,008.40/x
  3. Step 3: Cross multiply
    408,393.16x = 612,765.06 × 142,008.40
  4. Step 4: Simplify right side
    408,393.16x = 87,017,785,746.50
  5. Step 5: Solve for x
    x = 87,017,785,746.50/408,393.16
  6. Step 6: Final answer
    x = 213,073.56

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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.