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Finding the Fourth Proportional to 386,715.80, 580,073.70 and 209,568.80

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Solution

The fourth proportional to 386,715.80, 580,073.70 and 209,568.80 is: 314,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,715.80 : 580,073.70 = 209,568.80 : x
  2. Step 2: Convert to fraction form
    386,715.80/580,073.70 = 209,568.80/x
  3. Step 3: Cross multiply
    386,715.80x = 580,073.70 × 209,568.80
  4. Step 4: Simplify right side
    386,715.80x = 121,565,349,220.56
  5. Step 5: Solve for x
    x = 121,565,349,220.56/386,715.80
  6. Step 6: Final answer
    x = 314,353.20

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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.