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Finding the Fourth Proportional to 790,782, 1,091,284.35 and 428,205.88

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Solution

The fourth proportional to 790,782, 1,091,284.35 and 428,205.88 is: 590,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,782 : 1,091,284.35 = 428,205.88 : x
  2. Step 2: Convert to fraction form
    790,782/1,091,284.35 = 428,205.88/x
  3. Step 3: Cross multiply
    790,782x = 1,091,284.35 × 428,205.88
  4. Step 4: Simplify right side
    790,782x = 467,294,375,421.98
  5. Step 5: Solve for x
    x = 467,294,375,421.98/790,782
  6. Step 6: Final answer
    x = 590,926.92

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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.