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Finding the Fourth Proportional to 351,842.50, 527,563.80 and 138,494.78

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Solution

The fourth proportional to 351,842.50, 527,563.80 and 138,494.78 is: 207,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,842.50 : 527,563.80 = 138,494.78 : x
  2. Step 2: Convert to fraction form
    351,842.50/527,563.80 = 138,494.78/x
  3. Step 3: Cross multiply
    351,842.50x = 527,563.80 × 138,494.78
  4. Step 4: Simplify right side
    351,842.50x = 73,064,832,416.96
  5. Step 5: Solve for x
    x = 73,064,832,416.96/351,842.50
  6. Step 6: Final answer
    x = 207,663.46

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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.