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Finding the Fourth Proportional to 409,557.64, 614,294.88 and 109,999.30

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Solution

The fourth proportional to 409,557.64, 614,294.88 and 109,999.30 is: 164,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,557.64 : 614,294.88 = 109,999.30 : x
  2. Step 2: Convert to fraction form
    409,557.64/614,294.88 = 109,999.30/x
  3. Step 3: Cross multiply
    409,557.64x = 614,294.88 × 109,999.30
  4. Step 4: Simplify right side
    409,557.64x = 67,572,006,793.58
  5. Step 5: Solve for x
    x = 67,572,006,793.58/409,557.64
  6. Step 6: Final answer
    x = 164,987.78

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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.