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Finding the Fourth Proportional to 287,591.09, 431,254.44 and 97,974.29

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Solution

The fourth proportional to 287,591.09, 431,254.44 and 97,974.29 is: 146,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,591.09 : 431,254.44 = 97,974.29 : x
  2. Step 2: Convert to fraction form
    287,591.09/431,254.44 = 97,974.29/x
  3. Step 3: Cross multiply
    287,591.09x = 431,254.44 × 97,974.29
  4. Step 4: Simplify right side
    287,591.09x = 42,251,847,078.48
  5. Step 5: Solve for x
    x = 42,251,847,078.48/287,591.09
  6. Step 6: Final answer
    x = 146,916.40

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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.