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Finding the Fourth Proportional to 470,023.20, 705,034.80 and 137,599.20

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Solution

The fourth proportional to 470,023.20, 705,034.80 and 137,599.20 is: 206,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,023.20 : 705,034.80 = 137,599.20 : x
  2. Step 2: Convert to fraction form
    470,023.20/705,034.80 = 137,599.20/x
  3. Step 3: Cross multiply
    470,023.20x = 705,034.80 × 137,599.20
  4. Step 4: Simplify right side
    470,023.20x = 97,012,224,452.16
  5. Step 5: Solve for x
    x = 97,012,224,452.16/470,023.20
  6. Step 6: Final answer
    x = 206,398.80

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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.