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Finding the Fourth Proportional to 284,029.52, 391,958.28 and 156,706.32

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Solution

The fourth proportional to 284,029.52, 391,958.28 and 156,706.32 is: 216,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,029.52 : 391,958.28 = 156,706.32 : x
  2. Step 2: Convert to fraction form
    284,029.52/391,958.28 = 156,706.32/x
  3. Step 3: Cross multiply
    284,029.52x = 391,958.28 × 156,706.32
  4. Step 4: Simplify right side
    284,029.52x = 61,422,339,652.33
  5. Step 5: Solve for x
    x = 61,422,339,652.33/284,029.52
  6. Step 6: Final answer
    x = 216,253.37

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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.