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Finding the Fourth Proportional to 400,776, 601,203.84 and 148,122.72

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Solution

The fourth proportional to 400,776, 601,203.84 and 148,122.72 is: 222,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,776 : 601,203.84 = 148,122.72 : x
  2. Step 2: Convert to fraction form
    400,776/601,203.84 = 148,122.72/x
  3. Step 3: Cross multiply
    400,776x = 601,203.84 × 148,122.72
  4. Step 4: Simplify right side
    400,776x = 89,051,948,055.24
  5. Step 5: Solve for x
    x = 89,051,948,055.24/400,776
  6. Step 6: Final answer
    x = 222,198.80

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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.