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Finding the Fourth Proportional to 285,253.85, 393,676.72 and 157,929.44

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Solution

The fourth proportional to 285,253.85, 393,676.72 and 157,929.44 is: 217,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,253.85 : 393,676.72 = 157,929.44 : x
  2. Step 2: Convert to fraction form
    285,253.85/393,676.72 = 157,929.44/x
  3. Step 3: Cross multiply
    285,253.85x = 393,676.72 × 157,929.44
  4. Step 4: Simplify right side
    285,253.85x = 62,173,143,930.64
  5. Step 5: Solve for x
    x = 62,173,143,930.64/285,253.85
  6. Step 6: Final answer
    x = 217,957.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.