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Finding the Fourth Proportional to 438,356.88, 657,528.16 and 138,837

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Solution

The fourth proportional to 438,356.88, 657,528.16 and 138,837 is: 208,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,356.88 : 657,528.16 = 138,837 : x
  2. Step 2: Convert to fraction form
    438,356.88/657,528.16 = 138,837/x
  3. Step 3: Cross multiply
    438,356.88x = 657,528.16 × 138,837
  4. Step 4: Simplify right side
    438,356.88x = 91,289,237,149.92
  5. Step 5: Solve for x
    x = 91,289,237,149.92/438,356.88
  6. Step 6: Final answer
    x = 208,253.23

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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.