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Finding the Fourth Proportional to 284,655.28, 426,392.32 and 165,966.64

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Solution

The fourth proportional to 284,655.28, 426,392.32 and 165,966.64 is: 248,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,655.28 : 426,392.32 = 165,966.64 : x
  2. Step 2: Convert to fraction form
    284,655.28/426,392.32 = 165,966.64/x
  3. Step 3: Cross multiply
    284,655.28x = 426,392.32 × 165,966.64
  4. Step 4: Simplify right side
    284,655.28x = 70,766,900,672.20
  5. Step 5: Solve for x
    x = 70,766,900,672.20/284,655.28
  6. Step 6: Final answer
    x = 248,605.61

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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.