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Finding the Fourth Proportional to 285,973.76, 428,949.86 and 86,288.82

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Solution

The fourth proportional to 285,973.76, 428,949.86 and 86,288.82 is: 129,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,973.76 : 428,949.86 = 86,288.82 : x
  2. Step 2: Convert to fraction form
    285,973.76/428,949.86 = 86,288.82/x
  3. Step 3: Cross multiply
    285,973.76x = 428,949.86 × 86,288.82
  4. Step 4: Simplify right side
    285,973.76x = 37,013,576,827.12
  5. Step 5: Solve for x
    x = 37,013,576,827.12/285,973.76
  6. Step 6: Final answer
    x = 129,429.98

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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.