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Finding the Fourth Proportional to 282,114.91, 423,199.64 and 82,430.74

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Solution

The fourth proportional to 282,114.91, 423,199.64 and 82,430.74 is: 123,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,114.91 : 423,199.64 = 82,430.74 : x
  2. Step 2: Convert to fraction form
    282,114.91/423,199.64 = 82,430.74/x
  3. Step 3: Cross multiply
    282,114.91x = 423,199.64 × 82,430.74
  4. Step 4: Simplify right side
    282,114.91x = 34,884,659,080.78
  5. Step 5: Solve for x
    x = 34,884,659,080.78/282,114.91
  6. Step 6: Final answer
    x = 123,654.08

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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.