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Finding the Fourth Proportional to 285,276.78, 393,686.79 and 156,213.20

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Solution

The fourth proportional to 285,276.78, 393,686.79 and 156,213.20 is: 215,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,276.78 : 393,686.79 = 156,213.20 : x
  2. Step 2: Convert to fraction form
    285,276.78/393,686.79 = 156,213.20/x
  3. Step 3: Cross multiply
    285,276.78x = 393,686.79 × 156,213.20
  4. Step 4: Simplify right side
    285,276.78x = 61,499,071,295.19
  5. Step 5: Solve for x
    x = 61,499,071,295.19/285,276.78
  6. Step 6: Final answer
    x = 215,576.86

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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.