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Finding the Fourth Proportional to 440,206.68, 660,206.82 and 140,714.04

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Solution

The fourth proportional to 440,206.68, 660,206.82 and 140,714.04 is: 211,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,206.68 : 660,206.82 = 140,714.04 : x
  2. Step 2: Convert to fraction form
    440,206.68/660,206.82 = 140,714.04/x
  3. Step 3: Cross multiply
    440,206.68x = 660,206.82 × 140,714.04
  4. Step 4: Simplify right side
    440,206.68x = 92,900,368,877.75
  5. Step 5: Solve for x
    x = 92,900,368,877.75/440,206.68
  6. Step 6: Final answer
    x = 211,038.07

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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.