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Finding the Fourth Proportional to 348,102.30, 522,189.90 and 148,443.78

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Solution

The fourth proportional to 348,102.30, 522,189.90 and 148,443.78 is: 222,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,102.30 : 522,189.90 = 148,443.78 : x
  2. Step 2: Convert to fraction form
    348,102.30/522,189.90 = 148,443.78/x
  3. Step 3: Cross multiply
    348,102.30x = 522,189.90 × 148,443.78
  4. Step 4: Simplify right side
    348,102.30x = 77,515,842,633.82
  5. Step 5: Solve for x
    x = 77,515,842,633.82/348,102.30
  6. Step 6: Final answer
    x = 222,681.21

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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.