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Finding the Fourth Proportional to 438,844.16, 658,264 and 106,420.16

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Solution

The fourth proportional to 438,844.16, 658,264 and 106,420.16 is: 159,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,844.16 : 658,264 = 106,420.16 : x
  2. Step 2: Convert to fraction form
    438,844.16/658,264 = 106,420.16/x
  3. Step 3: Cross multiply
    438,844.16x = 658,264 × 106,420.16
  4. Step 4: Simplify right side
    438,844.16x = 70,052,560,202.24
  5. Step 5: Solve for x
    x = 70,052,560,202.24/438,844.16
  6. Step 6: Final answer
    x = 159,629.70

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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.