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Finding the Fourth Proportional to 338,111.96, 507,167.75 and 85,407.44

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Solution

The fourth proportional to 338,111.96, 507,167.75 and 85,407.44 is: 128,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,111.96 : 507,167.75 = 85,407.44 : x
  2. Step 2: Convert to fraction form
    338,111.96/507,167.75 = 85,407.44/x
  3. Step 3: Cross multiply
    338,111.96x = 507,167.75 × 85,407.44
  4. Step 4: Simplify right side
    338,111.96x = 43,315,896,855.74
  5. Step 5: Solve for x
    x = 43,315,896,855.74/338,111.96
  6. Step 6: Final answer
    x = 128,111.11

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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.