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Finding the Fourth Proportional to 265,640.80, 398,000.40 and 172,098.40

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Solution

The fourth proportional to 265,640.80, 398,000.40 and 172,098.40 is: 257,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,640.80 : 398,000.40 = 172,098.40 : x
  2. Step 2: Convert to fraction form
    265,640.80/398,000.40 = 172,098.40/x
  3. Step 3: Cross multiply
    265,640.80x = 398,000.40 × 172,098.40
  4. Step 4: Simplify right side
    265,640.80x = 68,495,232,039.36
  5. Step 5: Solve for x
    x = 68,495,232,039.36/265,640.80
  6. Step 6: Final answer
    x = 257,849.07

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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.