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Finding the Fourth Proportional to 311,412.18, 429,748.80 and 168,172.21

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Solution

The fourth proportional to 311,412.18, 429,748.80 and 168,172.21 is: 232,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412.18 : 429,748.80 = 168,172.21 : x
  2. Step 2: Convert to fraction form
    311,412.18/429,748.80 = 168,172.21/x
  3. Step 3: Cross multiply
    311,412.18x = 429,748.80 × 168,172.21
  4. Step 4: Simplify right side
    311,412.18x = 72,271,805,321.18
  5. Step 5: Solve for x
    x = 72,271,805,321.18/311,412.18
  6. Step 6: Final answer
    x = 232,077.65

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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.