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Finding the Fourth Proportional to 342,702.35, 472,913.81 and 189,729.80

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Solution

The fourth proportional to 342,702.35, 472,913.81 and 189,729.80 is: 261,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,702.35 : 472,913.81 = 189,729.80 : x
  2. Step 2: Convert to fraction form
    342,702.35/472,913.81 = 189,729.80/x
  3. Step 3: Cross multiply
    342,702.35x = 472,913.81 × 189,729.80
  4. Step 4: Simplify right side
    342,702.35x = 89,725,841,639.89
  5. Step 5: Solve for x
    x = 89,725,841,639.89/342,702.35
  6. Step 6: Final answer
    x = 261,818.58

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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.