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Finding the Fourth Proportional to 310,654.92, 428,848.20 and 234,205.08

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Solution

The fourth proportional to 310,654.92, 428,848.20 and 234,205.08 is: 323,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,654.92 : 428,848.20 = 234,205.08 : x
  2. Step 2: Convert to fraction form
    310,654.92/428,848.20 = 234,205.08/x
  3. Step 3: Cross multiply
    310,654.92x = 428,848.20 × 234,205.08
  4. Step 4: Simplify right side
    310,654.92x = 100,438,426,988.86
  5. Step 5: Solve for x
    x = 100,438,426,988.86/310,654.92
  6. Step 6: Final answer
    x = 323,311.88

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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.