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Finding the Fourth Proportional to 516,139, 712,271.82 and 289,789.36

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Solution

The fourth proportional to 516,139, 712,271.82 and 289,789.36 is: 399,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,139 : 712,271.82 = 289,789.36 : x
  2. Step 2: Convert to fraction form
    516,139/712,271.82 = 289,789.36/x
  3. Step 3: Cross multiply
    516,139x = 712,271.82 × 289,789.36
  4. Step 4: Simplify right side
    516,139x = 206,408,794,863.84
  5. Step 5: Solve for x
    x = 206,408,794,863.84/516,139
  6. Step 6: Final answer
    x = 399,909.32

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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.