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Finding the Fourth Proportional to 510,640, 766,309.92 and 178,216

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Solution

The fourth proportional to 510,640, 766,309.92 and 178,216 is: 267,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,640 : 766,309.92 = 178,216 : x
  2. Step 2: Convert to fraction form
    510,640/766,309.92 = 178,216/x
  3. Step 3: Cross multiply
    510,640x = 766,309.92 × 178,216
  4. Step 4: Simplify right side
    510,640x = 136,568,688,702.72
  5. Step 5: Solve for x
    x = 136,568,688,702.72/510,640
  6. Step 6: Final answer
    x = 267,446.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.