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Finding the Fourth Proportional to 276,971.84, 415,527.85 and 77,292.20

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Solution

The fourth proportional to 276,971.84, 415,527.85 and 77,292.20 is: 115,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,971.84 : 415,527.85 = 77,292.20 : x
  2. Step 2: Convert to fraction form
    276,971.84/415,527.85 = 77,292.20/x
  3. Step 3: Cross multiply
    276,971.84x = 415,527.85 × 77,292.20
  4. Step 4: Simplify right side
    276,971.84x = 32,117,061,687.77
  5. Step 5: Solve for x
    x = 32,117,061,687.77/276,971.84
  6. Step 6: Final answer
    x = 115,957.86

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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.