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Finding the Fourth Proportional to 943,488, 1,415,232 and 278,691.84

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Solution

The fourth proportional to 943,488, 1,415,232 and 278,691.84 is: 418,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,488 : 1,415,232 = 278,691.84 : x
  2. Step 2: Convert to fraction form
    943,488/1,415,232 = 278,691.84/x
  3. Step 3: Cross multiply
    943,488x = 1,415,232 × 278,691.84
  4. Step 4: Simplify right side
    943,488x = 394,413,610,106.88
  5. Step 5: Solve for x
    x = 394,413,610,106.88/943,488
  6. Step 6: Final answer
    x = 418,037.76

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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.