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Finding the Fourth Proportional to 285,493.20, 428,115.96 and 152,344.32

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Solution

The fourth proportional to 285,493.20, 428,115.96 and 152,344.32 is: 228,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,493.20 : 428,115.96 = 152,344.32 : x
  2. Step 2: Convert to fraction form
    285,493.20/428,115.96 = 152,344.32/x
  3. Step 3: Cross multiply
    285,493.20x = 428,115.96 × 152,344.32
  4. Step 4: Simplify right side
    285,493.20x = 65,221,034,807.35
  5. Step 5: Solve for x
    x = 65,221,034,807.35/285,493.20
  6. Step 6: Final answer
    x = 228,450.40

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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.