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Finding the Fourth Proportional to 240,498, 331,886.16 and 138,486.24

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Solution

The fourth proportional to 240,498, 331,886.16 and 138,486.24 is: 191,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,498 : 331,886.16 = 138,486.24 : x
  2. Step 2: Convert to fraction form
    240,498/331,886.16 = 138,486.24/x
  3. Step 3: Cross multiply
    240,498x = 331,886.16 × 138,486.24
  4. Step 4: Simplify right side
    240,498x = 45,961,666,406.44
  5. Step 5: Solve for x
    x = 45,961,666,406.44/240,498
  6. Step 6: Final answer
    x = 191,110.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.