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Finding the Fourth Proportional to 470,230.20, 705,345.30 and 137,806.20

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Solution

The fourth proportional to 470,230.20, 705,345.30 and 137,806.20 is: 206,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,230.20 : 705,345.30 = 137,806.20 : x
  2. Step 2: Convert to fraction form
    470,230.20/705,345.30 = 137,806.20/x
  3. Step 3: Cross multiply
    470,230.20x = 705,345.30 × 137,806.20
  4. Step 4: Simplify right side
    470,230.20x = 97,200,955,480.86
  5. Step 5: Solve for x
    x = 97,200,955,480.86/470,230.20
  6. Step 6: Final answer
    x = 206,709.30

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Similar ratio
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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.