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Finding the Fourth Proportional to 338,458.62, 507,684 and 82,292.67

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Solution

The fourth proportional to 338,458.62, 507,684 and 82,292.67 is: 123,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,458.62 : 507,684 = 82,292.67 : x
  2. Step 2: Convert to fraction form
    338,458.62/507,684 = 82,292.67/x
  3. Step 3: Cross multiply
    338,458.62x = 507,684 × 82,292.67
  4. Step 4: Simplify right side
    338,458.62x = 41,778,671,876.28
  5. Step 5: Solve for x
    x = 41,778,671,876.28/338,458.62
  6. Step 6: Final answer
    x = 123,438.05

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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.