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Finding the Fourth Proportional to 278,057.09, 416,835.95 and 128,220.86

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Solution

The fourth proportional to 278,057.09, 416,835.95 and 128,220.86 is: 192,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,057.09 : 416,835.95 = 128,220.86 : x
  2. Step 2: Convert to fraction form
    278,057.09/416,835.95 = 128,220.86/x
  3. Step 3: Cross multiply
    278,057.09x = 416,835.95 × 128,220.86
  4. Step 4: Simplify right side
    278,057.09x = 53,447,061,262.63
  5. Step 5: Solve for x
    x = 53,447,061,262.63/278,057.09
  6. Step 6: Final answer
    x = 192,216.15

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1.5x scale

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.