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Finding the Fourth Proportional to 276,713.60, 415,070.40 and 156,647.30

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Solution

The fourth proportional to 276,713.60, 415,070.40 and 156,647.30 is: 234,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,713.60 : 415,070.40 = 156,647.30 : x
  2. Step 2: Convert to fraction form
    276,713.60/415,070.40 = 156,647.30/x
  3. Step 3: Cross multiply
    276,713.60x = 415,070.40 × 156,647.30
  4. Step 4: Simplify right side
    276,713.60x = 65,019,657,469.92
  5. Step 5: Solve for x
    x = 65,019,657,469.92/276,713.60
  6. Step 6: Final answer
    x = 234,970.95

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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.