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Finding the Fourth Proportional to 278,382.48, 417,573.60 and 100,889.16

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Solution

The fourth proportional to 278,382.48, 417,573.60 and 100,889.16 is: 151,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,382.48 : 417,573.60 = 100,889.16 : x
  2. Step 2: Convert to fraction form
    278,382.48/417,573.60 = 100,889.16/x
  3. Step 3: Cross multiply
    278,382.48x = 417,573.60 × 100,889.16
  4. Step 4: Simplify right side
    278,382.48x = 42,128,649,742.18
  5. Step 5: Solve for x
    x = 42,128,649,742.18/278,382.48
  6. Step 6: Final answer
    x = 151,333.70

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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.