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Finding the Fourth Proportional to 276,686.80, 415,078.80 and 99,296.80

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Solution

The fourth proportional to 276,686.80, 415,078.80 and 99,296.80 is: 148,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,686.80 : 415,078.80 = 99,296.80 : x
  2. Step 2: Convert to fraction form
    276,686.80/415,078.80 = 99,296.80/x
  3. Step 3: Cross multiply
    276,686.80x = 415,078.80 × 99,296.80
  4. Step 4: Simplify right side
    276,686.80x = 41,215,996,587.84
  5. Step 5: Solve for x
    x = 41,215,996,587.84/276,686.80
  6. Step 6: Final answer
    x = 148,962.64

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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.