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Finding the Fourth Proportional to 278,094.54, 416,820.51 and 128,020.17

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Solution

The fourth proportional to 278,094.54, 416,820.51 and 128,020.17 is: 191,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,094.54 : 416,820.51 = 128,020.17 : x
  2. Step 2: Convert to fraction form
    278,094.54/416,820.51 = 128,020.17/x
  3. Step 3: Cross multiply
    278,094.54x = 416,820.51 × 128,020.17
  4. Step 4: Simplify right side
    278,094.54x = 53,361,432,549.69
  5. Step 5: Solve for x
    x = 53,361,432,549.69/278,094.54
  6. Step 6: Final answer
    x = 191,882.35

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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.