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Finding the Fourth Proportional to 283,687.72, 391,491.78 and 156,368.20

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Solution

The fourth proportional to 283,687.72, 391,491.78 and 156,368.20 is: 215,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,687.72 : 391,491.78 = 156,368.20 : x
  2. Step 2: Convert to fraction form
    283,687.72/391,491.78 = 156,368.20/x
  3. Step 3: Cross multiply
    283,687.72x = 391,491.78 × 156,368.20
  4. Step 4: Simplify right side
    283,687.72x = 61,216,864,953.40
  5. Step 5: Solve for x
    x = 61,216,864,953.40/283,687.72
  6. Step 6: Final answer
    x = 215,789.62

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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.