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Finding the Fourth Proportional to 282,176.60, 423,304.61 and 82,512

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Solution

The fourth proportional to 282,176.60, 423,304.61 and 82,512 is: 123,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,176.60 : 423,304.61 = 82,512 : x
  2. Step 2: Convert to fraction form
    282,176.60/423,304.61 = 82,512/x
  3. Step 3: Cross multiply
    282,176.60x = 423,304.61 × 82,512
  4. Step 4: Simplify right side
    282,176.60x = 34,927,709,567.76
  5. Step 5: Solve for x
    x = 34,927,709,567.76/282,176.60
  6. Step 6: Final answer
    x = 123,779.61

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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.