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Finding the Fourth Proportional to 283,709.50, 391,521.75 and 156,389.65

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Solution

The fourth proportional to 283,709.50, 391,521.75 and 156,389.65 is: 215,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,709.50 : 391,521.75 = 156,389.65 : x
  2. Step 2: Convert to fraction form
    283,709.50/391,521.75 = 156,389.65/x
  3. Step 3: Cross multiply
    283,709.50x = 391,521.75 × 156,389.65
  4. Step 4: Simplify right side
    283,709.50x = 61,229,949,449.89
  5. Step 5: Solve for x
    x = 61,229,949,449.89/283,709.50
  6. Step 6: Final answer
    x = 215,819.17

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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.