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Finding the Fourth Proportional to 285,644.72, 428,510.82 and 75,299.06

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Solution

The fourth proportional to 285,644.72, 428,510.82 and 75,299.06 is: 112,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,644.72 : 428,510.82 = 75,299.06 : x
  2. Step 2: Convert to fraction form
    285,644.72/428,510.82 = 75,299.06/x
  3. Step 3: Cross multiply
    285,644.72x = 428,510.82 × 75,299.06
  4. Step 4: Simplify right side
    285,644.72x = 32,266,461,945.83
  5. Step 5: Solve for x
    x = 32,266,461,945.83/285,644.72
  6. Step 6: Final answer
    x = 112,960.12

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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.