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Finding the Fourth Proportional to 384,865.76, 577,392.53 and 271,235.05

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Solution

The fourth proportional to 384,865.76, 577,392.53 and 271,235.05 is: 406,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,865.76 : 577,392.53 = 271,235.05 : x
  2. Step 2: Convert to fraction form
    384,865.76/577,392.53 = 271,235.05/x
  3. Step 3: Cross multiply
    384,865.76x = 577,392.53 × 271,235.05
  4. Step 4: Simplify right side
    384,865.76x = 156,609,088,944.52
  5. Step 5: Solve for x
    x = 156,609,088,944.52/384,865.76
  6. Step 6: Final answer
    x = 406,918.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.