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Finding the Fourth Proportional to 472,977.51, 709,446.42 and 220,171.11

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Solution

The fourth proportional to 472,977.51, 709,446.42 and 220,171.11 is: 330,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,977.51 : 709,446.42 = 220,171.11 : x
  2. Step 2: Convert to fraction form
    472,977.51/709,446.42 = 220,171.11/x
  3. Step 3: Cross multiply
    472,977.51x = 709,446.42 × 220,171.11
  4. Step 4: Simplify right side
    472,977.51x = 156,199,605,776.93
  5. Step 5: Solve for x
    x = 156,199,605,776.93/472,977.51
  6. Step 6: Final answer
    x = 330,247.43

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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.