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Finding the Fourth Proportional to 472,638.30, 709,063.20 and 173,112.90

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Solution

The fourth proportional to 472,638.30, 709,063.20 and 173,112.90 is: 259,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,638.30 : 709,063.20 = 173,112.90 : x
  2. Step 2: Convert to fraction form
    472,638.30/709,063.20 = 173,112.90/x
  3. Step 3: Cross multiply
    472,638.30x = 709,063.20 × 173,112.90
  4. Step 4: Simplify right side
    472,638.30x = 122,747,986,835.28
  5. Step 5: Solve for x
    x = 122,747,986,835.28/472,638.30
  6. Step 6: Final answer
    x = 259,708.08

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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.