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Finding the Fourth Proportional to 191,298.36, 287,472.42 and 180,429

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Solution

The fourth proportional to 191,298.36, 287,472.42 and 180,429 is: 271,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,298.36 : 287,472.42 = 180,429 : x
  2. Step 2: Convert to fraction form
    191,298.36/287,472.42 = 180,429/x
  3. Step 3: Cross multiply
    191,298.36x = 287,472.42 × 180,429
  4. Step 4: Simplify right side
    191,298.36x = 51,868,361,268.18
  5. Step 5: Solve for x
    x = 51,868,361,268.18/191,298.36
  6. Step 6: Final answer
    x = 271,138.56

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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.