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Finding the Fourth Proportional to 278,323.98, 417,707.37 and 100,881.60

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Solution

The fourth proportional to 278,323.98, 417,707.37 and 100,881.60 is: 151,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,323.98 : 417,707.37 = 100,881.60 : x
  2. Step 2: Convert to fraction form
    278,323.98/417,707.37 = 100,881.60/x
  3. Step 3: Cross multiply
    278,323.98x = 417,707.37 × 100,881.60
  4. Step 4: Simplify right side
    278,323.98x = 42,138,987,817.39
  5. Step 5: Solve for x
    x = 42,138,987,817.39/278,323.98
  6. Step 6: Final answer
    x = 151,402.65

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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.