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Finding the Fourth Proportional to 257,319.07, 355,100.42 and 156,717.07

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Solution

The fourth proportional to 257,319.07, 355,100.42 and 156,717.07 is: 216,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,319.07 : 355,100.42 = 156,717.07 : x
  2. Step 2: Convert to fraction form
    257,319.07/355,100.42 = 156,717.07/x
  3. Step 3: Cross multiply
    257,319.07x = 355,100.42 × 156,717.07
  4. Step 4: Simplify right side
    257,319.07x = 55,650,294,819.08
  5. Step 5: Solve for x
    x = 55,650,294,819.08/257,319.07
  6. Step 6: Final answer
    x = 216,269.61

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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.