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Finding the Fourth Proportional to 438,442.36, 657,715.38 and 138,936.76

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Solution

The fourth proportional to 438,442.36, 657,715.38 and 138,936.76 is: 208,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,442.36 : 657,715.38 = 138,936.76 : x
  2. Step 2: Convert to fraction form
    438,442.36/657,715.38 = 138,936.76/x
  3. Step 3: Cross multiply
    438,442.36x = 657,715.38 × 138,936.76
  4. Step 4: Simplify right side
    438,442.36x = 91,380,843,899.37
  5. Step 5: Solve for x
    x = 91,380,843,899.37/438,442.36
  6. Step 6: Final answer
    x = 208,421.57

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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.