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Finding the Fourth Proportional to 408,153.04, 612,274.20 and 138,475.89

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Solution

The fourth proportional to 408,153.04, 612,274.20 and 138,475.89 is: 207,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,153.04 : 612,274.20 = 138,475.89 : x
  2. Step 2: Convert to fraction form
    408,153.04/612,274.20 = 138,475.89/x
  3. Step 3: Cross multiply
    408,153.04x = 612,274.20 × 138,475.89
  4. Step 4: Simplify right side
    408,153.04x = 84,785,211,707.67
  5. Step 5: Solve for x
    x = 84,785,211,707.67/408,153.04
  6. Step 6: Final answer
    x = 207,728.98

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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.