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Finding the Fourth Proportional to 408,984, 613,730.96 and 156,287.04

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Solution

The fourth proportional to 408,984, 613,730.96 and 156,287.04 is: 234,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,984 : 613,730.96 = 156,287.04 : x
  2. Step 2: Convert to fraction form
    408,984/613,730.96 = 156,287.04/x
  3. Step 3: Cross multiply
    408,984x = 613,730.96 × 156,287.04
  4. Step 4: Simplify right side
    408,984x = 95,918,195,094.76
  5. Step 5: Solve for x
    x = 95,918,195,094.76/408,984
  6. Step 6: Final answer
    x = 234,527.99

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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.