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Finding the Fourth Proportional to 491,434.79, 737,257.41 and 278,303.45

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Solution

The fourth proportional to 491,434.79, 737,257.41 and 278,303.45 is: 417,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,434.79 : 737,257.41 = 278,303.45 : x
  2. Step 2: Convert to fraction form
    491,434.79/737,257.41 = 278,303.45/x
  3. Step 3: Cross multiply
    491,434.79x = 737,257.41 × 278,303.45
  4. Step 4: Simplify right side
    491,434.79x = 205,181,277,054.78
  5. Step 5: Solve for x
    x = 205,181,277,054.78/491,434.79
  6. Step 6: Final answer
    x = 417,514.76

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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.