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Finding the Fourth Proportional to 285,267.36, 428,117.87 and 105,522.85

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Solution

The fourth proportional to 285,267.36, 428,117.87 and 105,522.85 is: 158,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,267.36 : 428,117.87 = 105,522.85 : x
  2. Step 2: Convert to fraction form
    285,267.36/428,117.87 = 105,522.85/x
  3. Step 3: Cross multiply
    285,267.36x = 428,117.87 × 105,522.85
  4. Step 4: Simplify right side
    285,267.36x = 45,176,218,577.28
  5. Step 5: Solve for x
    x = 45,176,218,577.28/285,267.36
  6. Step 6: Final answer
    x = 158,364.48

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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.