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Finding the Fourth Proportional to 283,964.16, 391,916.16 and 169,248

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Solution

The fourth proportional to 283,964.16, 391,916.16 and 169,248 is: 233,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,964.16 : 391,916.16 = 169,248 : x
  2. Step 2: Convert to fraction form
    283,964.16/391,916.16 = 169,248/x
  3. Step 3: Cross multiply
    283,964.16x = 391,916.16 × 169,248
  4. Step 4: Simplify right side
    283,964.16x = 66,331,026,247.68
  5. Step 5: Solve for x
    x = 66,331,026,247.68/283,964.16
  6. Step 6: Final answer
    x = 233,589.43

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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.