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Finding the Fourth Proportional to 276,876,278.55, 415,314,417.83 and 276,876,278.55

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Solution

The fourth proportional to 276,876,278.55, 415,314,417.83 and 276,876,278.55 is: 415,314,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,876,278.55 : 415,314,417.83 = 276,876,278.55 : x
  2. Step 2: Convert to fraction form
    276,876,278.55/415,314,417.83 = 276,876,278.55/x
  3. Step 3: Cross multiply
    276,876,278.55x = 415,314,417.83 × 276,876,278.55
  4. Step 4: Simplify right side
    276,876,278.55x = 114,990,710,435,545,792
  5. Step 5: Solve for x
    x = 114,990,710,435,545,792/276,876,278.55
  6. Step 6: Final answer
    x = 415,314,417.83

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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.