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Finding the Fourth Proportional to 191,374.86, 287,587.17 and 180,505.47

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Solution

The fourth proportional to 191,374.86, 287,587.17 and 180,505.47 is: 271,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,374.86 : 287,587.17 = 180,505.47 : x
  2. Step 2: Convert to fraction form
    191,374.86/287,587.17 = 180,505.47/x
  3. Step 3: Cross multiply
    191,374.86x = 287,587.17 × 180,505.47
  4. Step 4: Simplify right side
    191,374.86x = 51,911,057,286.82
  5. Step 5: Solve for x
    x = 51,911,057,286.82/191,374.86
  6. Step 6: Final answer
    x = 271,253.27

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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.