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Finding the Fourth Proportional to 502,679, 754,138.80 and 147,685.16

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Solution

The fourth proportional to 502,679, 754,138.80 and 147,685.16 is: 221,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,679 : 754,138.80 = 147,685.16 : x
  2. Step 2: Convert to fraction form
    502,679/754,138.80 = 147,685.16/x
  3. Step 3: Cross multiply
    502,679x = 754,138.80 × 147,685.16
  4. Step 4: Simplify right side
    502,679x = 111,375,109,340.21
  5. Step 5: Solve for x
    x = 111,375,109,340.21/502,679
  6. Step 6: Final answer
    x = 221,563.08

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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.