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Finding the Fourth Proportional to 338,414.78, 507,623.31 and 85,695.15

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Solution

The fourth proportional to 338,414.78, 507,623.31 and 85,695.15 is: 128,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,414.78 : 507,623.31 = 85,695.15 : x
  2. Step 2: Convert to fraction form
    338,414.78/507,623.31 = 85,695.15/x
  3. Step 3: Cross multiply
    338,414.78x = 507,623.31 × 85,695.15
  4. Step 4: Simplify right side
    338,414.78x = 43,500,855,693.95
  5. Step 5: Solve for x
    x = 43,500,855,693.95/338,414.78
  6. Step 6: Final answer
    x = 128,543.02

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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.