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Finding the Fourth Proportional to 311,343.48, 429,654.78 and 180,546.48

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Solution

The fourth proportional to 311,343.48, 429,654.78 and 180,546.48 is: 249,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,343.48 : 429,654.78 = 180,546.48 : x
  2. Step 2: Convert to fraction form
    311,343.48/429,654.78 = 180,546.48/x
  3. Step 3: Cross multiply
    311,343.48x = 429,654.78 × 180,546.48
  4. Step 4: Simplify right side
    311,343.48x = 77,572,658,144.17
  5. Step 5: Solve for x
    x = 77,572,658,144.17/311,343.48
  6. Step 6: Final answer
    x = 249,154.59

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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.