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Finding the Fourth Proportional to 287,757.44, 431,680.54 and 98,173.40

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Solution

The fourth proportional to 287,757.44, 431,680.54 and 98,173.40 is: 147,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,757.44 : 431,680.54 = 98,173.40 : x
  2. Step 2: Convert to fraction form
    287,757.44/431,680.54 = 98,173.40/x
  3. Step 3: Cross multiply
    287,757.44x = 431,680.54 × 98,173.40
  4. Step 4: Simplify right side
    287,757.44x = 42,379,546,325.64
  5. Step 5: Solve for x
    x = 42,379,546,325.64/287,757.44
  6. Step 6: Final answer
    x = 147,275.24

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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.