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Finding the Fourth Proportional to 278,628.16, 415,006.28 and 272,796.16

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Solution

The fourth proportional to 278,628.16, 415,006.28 and 272,796.16 is: 406,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,628.16 : 415,006.28 = 272,796.16 : x
  2. Step 2: Convert to fraction form
    278,628.16/415,006.28 = 272,796.16/x
  3. Step 3: Cross multiply
    278,628.16x = 415,006.28 × 272,796.16
  4. Step 4: Simplify right side
    278,628.16x = 113,212,119,559.89
  5. Step 5: Solve for x
    x = 113,212,119,559.89/278,628.16
  6. Step 6: Final answer
    x = 406,319.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.