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Finding the Fourth Proportional to 348,174, 521,451 and 338,596.20

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Solution

The fourth proportional to 348,174, 521,451 and 338,596.20 is: 507,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,174 : 521,451 = 338,596.20 : x
  2. Step 2: Convert to fraction form
    348,174/521,451 = 338,596.20/x
  3. Step 3: Cross multiply
    348,174x = 521,451 × 338,596.20
  4. Step 4: Simplify right side
    348,174x = 176,561,327,086.20
  5. Step 5: Solve for x
    x = 176,561,327,086.20/348,174
  6. Step 6: Final answer
    x = 507,106.58

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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.