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Finding the Fourth Proportional to 470,821.80, 706,232.70 and 171,640.20

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Solution

The fourth proportional to 470,821.80, 706,232.70 and 171,640.20 is: 257,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,821.80 : 706,232.70 = 171,640.20 : x
  2. Step 2: Convert to fraction form
    470,821.80/706,232.70 = 171,640.20/x
  3. Step 3: Cross multiply
    470,821.80x = 706,232.70 × 171,640.20
  4. Step 4: Simplify right side
    470,821.80x = 121,217,921,874.54
  5. Step 5: Solve for x
    x = 121,217,921,874.54/470,821.80
  6. Step 6: Final answer
    x = 257,460.30

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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.