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Finding the Fourth Proportional to 285,950.88, 428,929.20 and 86,272.92

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Solution

The fourth proportional to 285,950.88, 428,929.20 and 86,272.92 is: 129,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,950.88 : 428,929.20 = 86,272.92 : x
  2. Step 2: Convert to fraction form
    285,950.88/428,929.20 = 86,272.92/x
  3. Step 3: Cross multiply
    285,950.88x = 428,929.20 × 86,272.92
  4. Step 4: Simplify right side
    285,950.88x = 37,004,974,557.26
  5. Step 5: Solve for x
    x = 37,004,974,557.26/285,950.88
  6. Step 6: Final answer
    x = 129,410.25

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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.