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Finding the Fourth Proportional to 384,878.73, 577,411.98 and 271,248.09

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Solution

The fourth proportional to 384,878.73, 577,411.98 and 271,248.09 is: 406,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,878.73 : 577,411.98 = 271,248.09 : x
  2. Step 2: Convert to fraction form
    384,878.73/577,411.98 = 271,248.09/x
  3. Step 3: Cross multiply
    384,878.73x = 577,411.98 × 271,248.09
  4. Step 4: Simplify right side
    384,878.73x = 156,621,896,718.12
  5. Step 5: Solve for x
    x = 156,621,896,718.12/384,878.73
  6. Step 6: Final answer
    x = 406,938.30

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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.