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Finding the Fourth Proportional to 470,209.20, 705,378.60 and 170,617.20

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Solution

The fourth proportional to 470,209.20, 705,378.60 and 170,617.20 is: 255,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,209.20 : 705,378.60 = 170,617.20 : x
  2. Step 2: Convert to fraction form
    470,209.20/705,378.60 = 170,617.20/x
  3. Step 3: Cross multiply
    470,209.20x = 705,378.60 × 170,617.20
  4. Step 4: Simplify right side
    470,209.20x = 120,349,721,671.92
  5. Step 5: Solve for x
    x = 120,349,721,671.92/470,209.20
  6. Step 6: Final answer
    x = 255,949.31

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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.