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Finding the Fourth Proportional to 278,673.54, 418,003.02 and 98,756.34

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Solution

The fourth proportional to 278,673.54, 418,003.02 and 98,756.34 is: 148,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,673.54 : 418,003.02 = 98,756.34 : x
  2. Step 2: Convert to fraction form
    278,673.54/418,003.02 = 98,756.34/x
  3. Step 3: Cross multiply
    278,673.54x = 418,003.02 × 98,756.34
  4. Step 4: Simplify right side
    278,673.54x = 41,280,448,364.15
  5. Step 5: Solve for x
    x = 41,280,448,364.15/278,673.54
  6. Step 6: Final answer
    x = 148,131.93

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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.