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Finding the Fourth Proportional to 311,411.80, 429,748.28 and 168,171.83

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Solution

The fourth proportional to 311,411.80, 429,748.28 and 168,171.83 is: 232,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,411.80 : 429,748.28 = 168,171.83 : x
  2. Step 2: Convert to fraction form
    311,411.80/429,748.28 = 168,171.83/x
  3. Step 3: Cross multiply
    311,411.80x = 429,748.28 × 168,171.83
  4. Step 4: Simplify right side
    311,411.80x = 72,271,551,697.35
  5. Step 5: Solve for x
    x = 72,271,551,697.35/311,411.80
  6. Step 6: Final answer
    x = 232,077.12

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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.