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Finding the Fourth Proportional to 278,065.20, 417,097.80 and 100,599.60

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Solution

The fourth proportional to 278,065.20, 417,097.80 and 100,599.60 is: 150,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,065.20 : 417,097.80 = 100,599.60 : x
  2. Step 2: Convert to fraction form
    278,065.20/417,097.80 = 100,599.60/x
  3. Step 3: Cross multiply
    278,065.20x = 417,097.80 × 100,599.60
  4. Step 4: Simplify right side
    278,065.20x = 41,959,871,840.88
  5. Step 5: Solve for x
    x = 41,959,871,840.88/278,065.20
  6. Step 6: Final answer
    x = 150,899.40

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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.