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Finding the Fourth Proportional to 284,437.60, 426,656.36 and 84,752.80

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Solution

The fourth proportional to 284,437.60, 426,656.36 and 84,752.80 is: 127,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,437.60 : 426,656.36 = 84,752.80 : x
  2. Step 2: Convert to fraction form
    284,437.60/426,656.36 = 84,752.80/x
  3. Step 3: Cross multiply
    284,437.60x = 426,656.36 × 84,752.80
  4. Step 4: Simplify right side
    284,437.60x = 36,160,321,147.81
  5. Step 5: Solve for x
    x = 36,160,321,147.81/284,437.60
  6. Step 6: Final answer
    x = 127,129.19

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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.