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Finding the Fourth Proportional to 285,376.88, 428,065.32 and 75,014.48

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Solution

The fourth proportional to 285,376.88, 428,065.32 and 75,014.48 is: 112,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,376.88 : 428,065.32 = 75,014.48 : x
  2. Step 2: Convert to fraction form
    285,376.88/428,065.32 = 75,014.48/x
  3. Step 3: Cross multiply
    285,376.88x = 428,065.32 × 75,014.48
  4. Step 4: Simplify right side
    285,376.88x = 32,111,097,385.83
  5. Step 5: Solve for x
    x = 32,111,097,385.83/285,376.88
  6. Step 6: Final answer
    x = 112,521.72

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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.