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Finding the Fourth Proportional to 309,598.43, 427,367.49 and 207,586.71

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Solution

The fourth proportional to 309,598.43, 427,367.49 and 207,586.71 is: 286,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,598.43 : 427,367.49 = 207,586.71 : x
  2. Step 2: Convert to fraction form
    309,598.43/427,367.49 = 207,586.71/x
  3. Step 3: Cross multiply
    309,598.43x = 427,367.49 × 207,586.71
  4. Step 4: Simplify right side
    309,598.43x = 88,715,811,210.06
  5. Step 5: Solve for x
    x = 88,715,811,210.06/309,598.43
  6. Step 6: Final answer
    x = 286,551.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.