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Finding the Fourth Proportional to 282,130.74, 423,241.39 and 82,425.78

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Solution

The fourth proportional to 282,130.74, 423,241.39 and 82,425.78 is: 123,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,130.74 : 423,241.39 = 82,425.78 : x
  2. Step 2: Convert to fraction form
    282,130.74/423,241.39 = 82,425.78/x
  3. Step 3: Cross multiply
    282,130.74x = 423,241.39 × 82,425.78
  4. Step 4: Simplify right side
    282,130.74x = 34,886,001,699.03
  5. Step 5: Solve for x
    x = 34,886,001,699.03/282,130.74
  6. Step 6: Final answer
    x = 123,651.90

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1.5x scale

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.