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Finding the Fourth Proportional to 421,697.34, 582,017.25 and 249,710.78

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Solution

The fourth proportional to 421,697.34, 582,017.25 and 249,710.78 is: 344,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,697.34 : 582,017.25 = 249,710.78 : x
  2. Step 2: Convert to fraction form
    421,697.34/582,017.25 = 249,710.78/x
  3. Step 3: Cross multiply
    421,697.34x = 582,017.25 × 249,710.78
  4. Step 4: Simplify right side
    421,697.34x = 145,335,978,560.87
  5. Step 5: Solve for x
    x = 145,335,978,560.87/421,697.34
  6. Step 6: Final answer
    x = 344,645.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.