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Finding the Fourth Proportional to 208,863.78, 287,503.59 and 180,274.15

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Solution

The fourth proportional to 208,863.78, 287,503.59 and 180,274.15 is: 248,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,863.78 : 287,503.59 = 180,274.15 : x
  2. Step 2: Convert to fraction form
    208,863.78/287,503.59 = 180,274.15/x
  3. Step 3: Cross multiply
    208,863.78x = 287,503.59 × 180,274.15
  4. Step 4: Simplify right side
    208,863.78x = 51,829,465,309.20
  5. Step 5: Solve for x
    x = 51,829,465,309.20/208,863.78
  6. Step 6: Final answer
    x = 248,149.61

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1.5x scale

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.