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Finding the Fourth Proportional to 276,765.34, 415,148.40 and 77,086.30

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Solution

The fourth proportional to 276,765.34, 415,148.40 and 77,086.30 is: 115,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,765.34 : 415,148.40 = 77,086.30 : x
  2. Step 2: Convert to fraction form
    276,765.34/415,148.40 = 77,086.30/x
  3. Step 3: Cross multiply
    276,765.34x = 415,148.40 × 77,086.30
  4. Step 4: Simplify right side
    276,765.34x = 32,002,254,106.92
  5. Step 5: Solve for x
    x = 32,002,254,106.92/276,765.34
  6. Step 6: Final answer
    x = 115,629.56

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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.