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Finding the Fourth Proportional to 408,115.40, 611,735.70 and 155,298.20

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Solution

The fourth proportional to 408,115.40, 611,735.70 and 155,298.20 is: 232,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,115.40 : 611,735.70 = 155,298.20 : x
  2. Step 2: Convert to fraction form
    408,115.40/611,735.70 = 155,298.20/x
  3. Step 3: Cross multiply
    408,115.40x = 611,735.70 × 155,298.20
  4. Step 4: Simplify right side
    408,115.40x = 95,001,453,085.74
  5. Step 5: Solve for x
    x = 95,001,453,085.74/408,115.40
  6. Step 6: Final answer
    x = 232,780.86

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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.