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Finding the Fourth Proportional to 338,234.20, 507,351.30 and 315,926.80

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Solution

The fourth proportional to 338,234.20, 507,351.30 and 315,926.80 is: 473,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,234.20 : 507,351.30 = 315,926.80 : x
  2. Step 2: Convert to fraction form
    338,234.20/507,351.30 = 315,926.80/x
  3. Step 3: Cross multiply
    338,234.20x = 507,351.30 × 315,926.80
  4. Step 4: Simplify right side
    338,234.20x = 160,285,872,684.84
  5. Step 5: Solve for x
    x = 160,285,872,684.84/338,234.20
  6. Step 6: Final answer
    x = 473,890.20

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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.