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Finding the Fourth Proportional to 384,870.76, 577,400.27 and 271,240.28

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Solution

The fourth proportional to 384,870.76, 577,400.27 and 271,240.28 is: 406,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,870.76 : 577,400.27 = 271,240.28 : x
  2. Step 2: Convert to fraction form
    384,870.76/577,400.27 = 271,240.28/x
  3. Step 3: Cross multiply
    384,870.76x = 577,400.27 × 271,240.28
  4. Step 4: Simplify right side
    384,870.76x = 156,614,213,028.48
  5. Step 5: Solve for x
    x = 156,614,213,028.48/384,870.76
  6. Step 6: Final answer
    x = 406,926.76

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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.