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Finding the Fourth Proportional to 285,548.52, 428,323.76 and 72,316.36

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Solution

The fourth proportional to 285,548.52, 428,323.76 and 72,316.36 is: 108,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,548.52 : 428,323.76 = 72,316.36 : x
  2. Step 2: Convert to fraction form
    285,548.52/428,323.76 = 72,316.36/x
  3. Step 3: Cross multiply
    285,548.52x = 428,323.76 × 72,316.36
  4. Step 4: Simplify right side
    285,548.52x = 30,974,812,721.51
  5. Step 5: Solve for x
    x = 30,974,812,721.51/285,548.52
  6. Step 6: Final answer
    x = 108,474.78

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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.