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Finding the Fourth Proportional to 285,415.72, 428,148.87 and 75,053.66

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Solution

The fourth proportional to 285,415.72, 428,148.87 and 75,053.66 is: 112,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,415.72 : 428,148.87 = 75,053.66 : x
  2. Step 2: Convert to fraction form
    285,415.72/428,148.87 = 75,053.66/x
  3. Step 3: Cross multiply
    285,415.72x = 428,148.87 × 75,053.66
  4. Step 4: Simplify right side
    285,415.72x = 32,134,137,202.35
  5. Step 5: Solve for x
    x = 32,134,137,202.35/285,415.72
  6. Step 6: Final answer
    x = 112,587.13

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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.