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Finding the Fourth Proportional to 285,395.96, 428,059.86 and 75,050.28

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Solution

The fourth proportional to 285,395.96, 428,059.86 and 75,050.28 is: 112,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,395.96 : 428,059.86 = 75,050.28 : x
  2. Step 2: Convert to fraction form
    285,395.96/428,059.86 = 75,050.28/x
  3. Step 3: Cross multiply
    285,395.96x = 428,059.86 × 75,050.28
  4. Step 4: Simplify right side
    285,395.96x = 32,126,012,349.76
  5. Step 5: Solve for x
    x = 32,126,012,349.76/285,395.96
  6. Step 6: Final answer
    x = 112,566.46

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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.