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Finding the Fourth Proportional to 285,376.68, 428,108.22 and 98,343.72

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Solution

The fourth proportional to 285,376.68, 428,108.22 and 98,343.72 is: 147,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,376.68 : 428,108.22 = 98,343.72 : x
  2. Step 2: Convert to fraction form
    285,376.68/428,108.22 = 98,343.72/x
  3. Step 3: Cross multiply
    285,376.68x = 428,108.22 × 98,343.72
  4. Step 4: Simplify right side
    285,376.68x = 42,101,754,917.38
  5. Step 5: Solve for x
    x = 42,101,754,917.38/285,376.68
  6. Step 6: Final answer
    x = 147,530.47

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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.