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Finding the Fourth Proportional to 342,705.92, 472,929.28 and 189,729.44

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Solution

The fourth proportional to 342,705.92, 472,929.28 and 189,729.44 is: 261,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,705.92 : 472,929.28 = 189,729.44 : x
  2. Step 2: Convert to fraction form
    342,705.92/472,929.28 = 189,729.44/x
  3. Step 3: Cross multiply
    342,705.92x = 472,929.28 × 189,729.44
  4. Step 4: Simplify right side
    342,705.92x = 89,728,607,454.00
  5. Step 5: Solve for x
    x = 89,728,607,454.00/342,705.92
  6. Step 6: Final answer
    x = 261,823.92

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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.