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Finding the Fourth Proportional to 377,661.76, 565,964 and 284,057.92

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Solution

The fourth proportional to 377,661.76, 565,964 and 284,057.92 is: 425,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,661.76 : 565,964 = 284,057.92 : x
  2. Step 2: Convert to fraction form
    377,661.76/565,964 = 284,057.92/x
  3. Step 3: Cross multiply
    377,661.76x = 565,964 × 284,057.92
  4. Step 4: Simplify right side
    377,661.76x = 160,766,556,634.88
  5. Step 5: Solve for x
    x = 160,766,556,634.88/377,661.76
  6. Step 6: Final answer
    x = 425,689.26

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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.