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Finding the Fourth Proportional to 408,111.40, 611,729.70 and 155,294.20

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Solution

The fourth proportional to 408,111.40, 611,729.70 and 155,294.20 is: 232,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,111.40 : 611,729.70 = 155,294.20 : x
  2. Step 2: Convert to fraction form
    408,111.40/611,729.70 = 155,294.20/x
  3. Step 3: Cross multiply
    408,111.40x = 611,729.70 × 155,294.20
  4. Step 4: Simplify right side
    408,111.40x = 94,998,074,377.74
  5. Step 5: Solve for x
    x = 94,998,074,377.74/408,111.40
  6. Step 6: Final answer
    x = 232,774.86

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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.