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Finding the Fourth Proportional to 347,717.80, 521,187.90 and 148,004.20

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Solution

The fourth proportional to 347,717.80, 521,187.90 and 148,004.20 is: 221,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,717.80 : 521,187.90 = 148,004.20 : x
  2. Step 2: Convert to fraction form
    347,717.80/521,187.90 = 148,004.20/x
  3. Step 3: Cross multiply
    347,717.80x = 521,187.90 × 148,004.20
  4. Step 4: Simplify right side
    347,717.80x = 77,137,998,189.18
  5. Step 5: Solve for x
    x = 77,137,998,189.18/347,717.80
  6. Step 6: Final answer
    x = 221,840.81

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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.