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Finding the Fourth Proportional to 285,948.29, 428,925.50 and 86,270.41

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Solution

The fourth proportional to 285,948.29, 428,925.50 and 86,270.41 is: 129,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,948.29 : 428,925.50 = 86,270.41 : x
  2. Step 2: Convert to fraction form
    285,948.29/428,925.50 = 86,270.41/x
  3. Step 3: Cross multiply
    285,948.29x = 428,925.50 × 86,270.41
  4. Step 4: Simplify right side
    285,948.29x = 37,003,577,887.82
  5. Step 5: Solve for x
    x = 37,003,577,887.82/285,948.29
  6. Step 6: Final answer
    x = 129,406.54

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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.