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Finding the Fourth Proportional to 465,838.55, 642,851.04 and 259,105.54

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Solution

The fourth proportional to 465,838.55, 642,851.04 and 259,105.54 is: 357,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,838.55 : 642,851.04 = 259,105.54 : x
  2. Step 2: Convert to fraction form
    465,838.55/642,851.04 = 259,105.54/x
  3. Step 3: Cross multiply
    465,838.55x = 642,851.04 × 259,105.54
  4. Step 4: Simplify right side
    465,838.55x = 166,566,264,251.63
  5. Step 5: Solve for x
    x = 166,566,264,251.63/465,838.55
  6. Step 6: Final answer
    x = 357,562.21

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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.