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Finding the Fourth Proportional to 285,393.51, 428,056.20 and 75,047.85

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Solution

The fourth proportional to 285,393.51, 428,056.20 and 75,047.85 is: 112,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,393.51 : 428,056.20 = 75,047.85 : x
  2. Step 2: Convert to fraction form
    285,393.51/428,056.20 = 75,047.85/x
  3. Step 3: Cross multiply
    285,393.51x = 428,056.20 × 75,047.85
  4. Step 4: Simplify right side
    285,393.51x = 32,124,697,489.17
  5. Step 5: Solve for x
    x = 32,124,697,489.17/285,393.51
  6. Step 6: Final answer
    x = 112,562.82

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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.