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Finding the Fourth Proportional to 285,742.80, 428,760 and 117,392.40

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Solution

The fourth proportional to 285,742.80, 428,760 and 117,392.40 is: 176,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,742.80 : 428,760 = 117,392.40 : x
  2. Step 2: Convert to fraction form
    285,742.80/428,760 = 117,392.40/x
  3. Step 3: Cross multiply
    285,742.80x = 428,760 × 117,392.40
  4. Step 4: Simplify right side
    285,742.80x = 50,333,165,424
  5. Step 5: Solve for x
    x = 50,333,165,424/285,742.80
  6. Step 6: Final answer
    x = 176,148.50

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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.