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Finding the Fourth Proportional to 338,234.70, 507,352.05 and 315,927.30

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Solution

The fourth proportional to 338,234.70, 507,352.05 and 315,927.30 is: 473,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,234.70 : 507,352.05 = 315,927.30 : x
  2. Step 2: Convert to fraction form
    338,234.70/507,352.05 = 315,927.30/x
  3. Step 3: Cross multiply
    338,234.70x = 507,352.05 × 315,927.30
  4. Step 4: Simplify right side
    338,234.70x = 160,286,363,305.97
  5. Step 5: Solve for x
    x = 160,286,363,305.97/338,234.70
  6. Step 6: Final answer
    x = 473,890.95

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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.