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Finding the Fourth Proportional to 311,411.73, 429,748.19 and 168,171.77

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Solution

The fourth proportional to 311,411.73, 429,748.19 and 168,171.77 is: 232,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,411.73 : 429,748.19 = 168,171.77 : x
  2. Step 2: Convert to fraction form
    311,411.73/429,748.19 = 168,171.77/x
  3. Step 3: Cross multiply
    311,411.73x = 429,748.19 × 168,171.77
  4. Step 4: Simplify right side
    311,411.73x = 72,271,510,777.00
  5. Step 5: Solve for x
    x = 72,271,510,777.00/311,411.73
  6. Step 6: Final answer
    x = 232,077.03

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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.