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Finding the Fourth Proportional to 338,411.53, 507,618.44 and 85,691.90

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Solution

The fourth proportional to 338,411.53, 507,618.44 and 85,691.90 is: 128,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,411.53 : 507,618.44 = 85,691.90 : x
  2. Step 2: Convert to fraction form
    338,411.53/507,618.44 = 85,691.90/x
  3. Step 3: Cross multiply
    338,411.53x = 507,618.44 × 85,691.90
  4. Step 4: Simplify right side
    338,411.53x = 43,498,788,598.64
  5. Step 5: Solve for x
    x = 43,498,788,598.64/338,411.53
  6. Step 6: Final answer
    x = 128,538.14

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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.