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Finding the Fourth Proportional to 381,042.66, 525,830.22 and 208,963.02

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Solution

The fourth proportional to 381,042.66, 525,830.22 and 208,963.02 is: 288,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,042.66 : 525,830.22 = 208,963.02 : x
  2. Step 2: Convert to fraction form
    381,042.66/525,830.22 = 208,963.02/x
  3. Step 3: Cross multiply
    381,042.66x = 525,830.22 × 208,963.02
  4. Step 4: Simplify right side
    381,042.66x = 109,879,070,778.46
  5. Step 5: Solve for x
    x = 109,879,070,778.46/381,042.66
  6. Step 6: Final answer
    x = 288,364.22

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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.