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Finding the Fourth Proportional to 276,705.60, 415,058.40 and 156,639.30

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Solution

The fourth proportional to 276,705.60, 415,058.40 and 156,639.30 is: 234,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,705.60 : 415,058.40 = 156,639.30 : x
  2. Step 2: Convert to fraction form
    276,705.60/415,058.40 = 156,639.30/x
  3. Step 3: Cross multiply
    276,705.60x = 415,058.40 × 156,639.30
  4. Step 4: Simplify right side
    276,705.60x = 65,014,457,235.12
  5. Step 5: Solve for x
    x = 65,014,457,235.12/276,705.60
  6. Step 6: Final answer
    x = 234,958.95

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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.