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Finding the Fourth Proportional to 284,577.20, 426,865.80 and 266,145.20

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Solution

The fourth proportional to 284,577.20, 426,865.80 and 266,145.20 is: 399,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,577.20 : 426,865.80 = 266,145.20 : x
  2. Step 2: Convert to fraction form
    284,577.20/426,865.80 = 266,145.20/x
  3. Step 3: Cross multiply
    284,577.20x = 426,865.80 × 266,145.20
  4. Step 4: Simplify right side
    284,577.20x = 113,608,283,714.16
  5. Step 5: Solve for x
    x = 113,608,283,714.16/284,577.20
  6. Step 6: Final answer
    x = 399,217.80

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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.