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Finding the Fourth Proportional to 438,476.37, 657,732.84 and 138,950.32

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Solution

The fourth proportional to 438,476.37, 657,732.84 and 138,950.32 is: 208,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,476.37 : 657,732.84 = 138,950.32 : x
  2. Step 2: Convert to fraction form
    438,476.37/657,732.84 = 138,950.32/x
  3. Step 3: Cross multiply
    438,476.37x = 657,732.84 × 138,950.32
  4. Step 4: Simplify right side
    438,476.37x = 91,392,188,592.51
  5. Step 5: Solve for x
    x = 91,392,188,592.51/438,476.37
  6. Step 6: Final answer
    x = 208,431.27

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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.