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Finding the Fourth Proportional to 659,545.74, 989,315.87 and 280,407.42

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Solution

The fourth proportional to 659,545.74, 989,315.87 and 280,407.42 is: 420,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,545.74 : 989,315.87 = 280,407.42 : x
  2. Step 2: Convert to fraction form
    659,545.74/989,315.87 = 280,407.42/x
  3. Step 3: Cross multiply
    659,545.74x = 989,315.87 × 280,407.42
  4. Step 4: Simplify right side
    659,545.74x = 277,411,510,671.76
  5. Step 5: Solve for x
    x = 277,411,510,671.76/659,545.74
  6. Step 6: Final answer
    x = 420,609.97

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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.