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Finding the Fourth Proportional to 278,218.80, 384,140.52 and 219,988.80

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Solution

The fourth proportional to 278,218.80, 384,140.52 and 219,988.80 is: 303,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,218.80 : 384,140.52 = 219,988.80 : x
  2. Step 2: Convert to fraction form
    278,218.80/384,140.52 = 219,988.80/x
  3. Step 3: Cross multiply
    278,218.80x = 384,140.52 × 219,988.80
  4. Step 4: Simplify right side
    278,218.80x = 84,506,612,026.18
  5. Step 5: Solve for x
    x = 84,506,612,026.18/278,218.80
  6. Step 6: Final answer
    x = 303,741.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.