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Finding the Fourth Proportional to 980,472.98, 1,470,794.20 and 270,501

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Solution

The fourth proportional to 980,472.98, 1,470,794.20 and 270,501 is: 405,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,472.98 : 1,470,794.20 = 270,501 : x
  2. Step 2: Convert to fraction form
    980,472.98/1,470,794.20 = 270,501/x
  3. Step 3: Cross multiply
    980,472.98x = 1,470,794.20 × 270,501
  4. Step 4: Simplify right side
    980,472.98x = 397,851,301,894.20
  5. Step 5: Solve for x
    x = 397,851,301,894.20/980,472.98
  6. Step 6: Final answer
    x = 405,774.88

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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.