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Finding the Fourth Proportional to 311,279.40, 466,919.10 and 153,487.35

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Solution

The fourth proportional to 311,279.40, 466,919.10 and 153,487.35 is: 230,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,279.40 : 466,919.10 = 153,487.35 : x
  2. Step 2: Convert to fraction form
    311,279.40/466,919.10 = 153,487.35/x
  3. Step 3: Cross multiply
    311,279.40x = 466,919.10 × 153,487.35
  4. Step 4: Simplify right side
    311,279.40x = 71,666,175,323.39
  5. Step 5: Solve for x
    x = 71,666,175,323.39/311,279.40
  6. Step 6: Final answer
    x = 230,231.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.