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Finding the Fourth Proportional to 224,855.29, 310,312.31 and 129,376.54

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Solution

The fourth proportional to 224,855.29, 310,312.31 and 129,376.54 is: 178,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,855.29 : 310,312.31 = 129,376.54 : x
  2. Step 2: Convert to fraction form
    224,855.29/310,312.31 = 129,376.54/x
  3. Step 3: Cross multiply
    224,855.29x = 310,312.31 × 129,376.54
  4. Step 4: Simplify right side
    224,855.29x = 40,147,132,987.21
  5. Step 5: Solve for x
    x = 40,147,132,987.21/224,855.29
  6. Step 6: Final answer
    x = 178,546.54

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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.