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Finding the Fourth Proportional to 278,086.40, 417,129.60 and 208,102.40

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Solution

The fourth proportional to 278,086.40, 417,129.60 and 208,102.40 is: 312,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,086.40 : 417,129.60 = 208,102.40 : x
  2. Step 2: Convert to fraction form
    278,086.40/417,129.60 = 208,102.40/x
  3. Step 3: Cross multiply
    278,086.40x = 417,129.60 × 208,102.40
  4. Step 4: Simplify right side
    278,086.40x = 86,805,670,871.04
  5. Step 5: Solve for x
    x = 86,805,670,871.04/278,086.40
  6. Step 6: Final answer
    x = 312,153.60

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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.