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Finding the Fourth Proportional to 278,115.48, 416,925.80 and 100,583.01

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Solution

The fourth proportional to 278,115.48, 416,925.80 and 100,583.01 is: 150,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,115.48 : 416,925.80 = 100,583.01 : x
  2. Step 2: Convert to fraction form
    278,115.48/416,925.80 = 100,583.01/x
  3. Step 3: Cross multiply
    278,115.48x = 416,925.80 × 100,583.01
  4. Step 4: Simplify right side
    278,115.48x = 41,935,651,407.74
  5. Step 5: Solve for x
    x = 41,935,651,407.74/278,115.48
  6. Step 6: Final answer
    x = 150,785.03

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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.