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Finding the Fourth Proportional to 287,772.01, 431,697.39 and 98,181.46

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Solution

The fourth proportional to 287,772.01, 431,697.39 and 98,181.46 is: 147,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,772.01 : 431,697.39 = 98,181.46 : x
  2. Step 2: Convert to fraction form
    287,772.01/431,697.39 = 98,181.46/x
  3. Step 3: Cross multiply
    287,772.01x = 431,697.39 × 98,181.46
  4. Step 4: Simplify right side
    287,772.01x = 42,384,680,028.39
  5. Step 5: Solve for x
    x = 42,384,680,028.39/287,772.01
  6. Step 6: Final answer
    x = 147,285.62

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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.