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Finding the Fourth Proportional to 338,439.95, 507,656.28 and 138,715.82

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Solution

The fourth proportional to 338,439.95, 507,656.28 and 138,715.82 is: 208,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,439.95 : 507,656.28 = 138,715.82 : x
  2. Step 2: Convert to fraction form
    338,439.95/507,656.28 = 138,715.82/x
  3. Step 3: Cross multiply
    338,439.95x = 507,656.28 × 138,715.82
  4. Step 4: Simplify right side
    338,439.95x = 70,419,958,427.49
  5. Step 5: Solve for x
    x = 70,419,958,427.49/338,439.95
  6. Step 6: Final answer
    x = 208,072.24

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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.