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Finding the Fourth Proportional to 475,147.71, 655,704.08 and 260,288.63

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Solution

The fourth proportional to 475,147.71, 655,704.08 and 260,288.63 is: 359,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,147.71 : 655,704.08 = 260,288.63 : x
  2. Step 2: Convert to fraction form
    475,147.71/655,704.08 = 260,288.63/x
  3. Step 3: Cross multiply
    475,147.71x = 655,704.08 × 260,288.63
  4. Step 4: Simplify right side
    475,147.71x = 170,672,316,668.61
  5. Step 5: Solve for x
    x = 170,672,316,668.61/475,147.71
  6. Step 6: Final answer
    x = 359,198.44

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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.