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Finding the Fourth Proportional to 408,160.20, 612,080.10 and 155,306.40

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Solution

The fourth proportional to 408,160.20, 612,080.10 and 155,306.40 is: 232,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,160.20 : 612,080.10 = 155,306.40 : x
  2. Step 2: Convert to fraction form
    408,160.20/612,080.10 = 155,306.40/x
  3. Step 3: Cross multiply
    408,160.20x = 612,080.10 × 155,306.40
  4. Step 4: Simplify right side
    408,160.20x = 95,059,956,842.64
  5. Step 5: Solve for x
    x = 95,059,956,842.64/408,160.20
  6. Step 6: Final answer
    x = 232,898.64

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1.5x scale

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.