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Finding the Fourth Proportional to 314,474.34, 471,785.30 and 89,838

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Solution

The fourth proportional to 314,474.34, 471,785.30 and 89,838 is: 134,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,474.34 : 471,785.30 = 89,838 : x
  2. Step 2: Convert to fraction form
    314,474.34/471,785.30 = 89,838/x
  3. Step 3: Cross multiply
    314,474.34x = 471,785.30 × 89,838
  4. Step 4: Simplify right side
    314,474.34x = 42,384,247,781.40
  5. Step 5: Solve for x
    x = 42,384,247,781.40/314,474.34
  6. Step 6: Final answer
    x = 134,778.08

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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.