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Finding the Fourth Proportional to 342,643.61, 472,395.15 and 281,164.61

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Solution

The fourth proportional to 342,643.61, 472,395.15 and 281,164.61 is: 387,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,643.61 : 472,395.15 = 281,164.61 : x
  2. Step 2: Convert to fraction form
    342,643.61/472,395.15 = 281,164.61/x
  3. Step 3: Cross multiply
    342,643.61x = 472,395.15 × 281,164.61
  4. Step 4: Simplify right side
    342,643.61x = 132,820,795,753.67
  5. Step 5: Solve for x
    x = 132,820,795,753.67/342,643.61
  6. Step 6: Final answer
    x = 387,635.41

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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.