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Finding the Fourth Proportional to 285,424.49, 428,164.95 and 105,557.11

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Solution

The fourth proportional to 285,424.49, 428,164.95 and 105,557.11 is: 158,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,424.49 : 428,164.95 = 105,557.11 : x
  2. Step 2: Convert to fraction form
    285,424.49/428,164.95 = 105,557.11/x
  3. Step 3: Cross multiply
    285,424.49x = 428,164.95 × 105,557.11
  4. Step 4: Simplify right side
    285,424.49x = 45,195,854,725.29
  5. Step 5: Solve for x
    x = 45,195,854,725.29/285,424.49
  6. Step 6: Final answer
    x = 158,346.10

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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.