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Finding the Fourth Proportional to 471,189, 706,862.88 and 218,366.94

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Solution

The fourth proportional to 471,189, 706,862.88 and 218,366.94 is: 327,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,189 : 706,862.88 = 218,366.94 : x
  2. Step 2: Convert to fraction form
    471,189/706,862.88 = 218,366.94/x
  3. Step 3: Cross multiply
    471,189x = 706,862.88 × 218,366.94
  4. Step 4: Simplify right side
    471,189x = 154,355,484,105.19
  5. Step 5: Solve for x
    x = 154,355,484,105.19/471,189
  6. Step 6: Final answer
    x = 327,587.20

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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.