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Finding the Fourth Proportional to 287,581.60, 431,372.40 and 74,349.10

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Solution

The fourth proportional to 287,581.60, 431,372.40 and 74,349.10 is: 111,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,581.60 : 431,372.40 = 74,349.10 : x
  2. Step 2: Convert to fraction form
    287,581.60/431,372.40 = 74,349.10/x
  3. Step 3: Cross multiply
    287,581.60x = 431,372.40 × 74,349.10
  4. Step 4: Simplify right side
    287,581.60x = 32,072,149,704.84
  5. Step 5: Solve for x
    x = 32,072,149,704.84/287,581.60
  6. Step 6: Final answer
    x = 111,523.65

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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.