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Finding the Fourth Proportional to 287,885.96, 431,816.70 and 98,363.32

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Solution

The fourth proportional to 287,885.96, 431,816.70 and 98,363.32 is: 147,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,885.96 : 431,816.70 = 98,363.32 : x
  2. Step 2: Convert to fraction form
    287,885.96/431,816.70 = 98,363.32/x
  3. Step 3: Cross multiply
    287,885.96x = 431,816.70 × 98,363.32
  4. Step 4: Simplify right side
    287,885.96x = 42,474,924,243.44
  5. Step 5: Solve for x
    x = 42,474,924,243.44/287,885.96
  6. Step 6: Final answer
    x = 147,540.80

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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.