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Finding the Fourth Proportional to 516,870.84, 775,296.54 and 281,710.02

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Solution

The fourth proportional to 516,870.84, 775,296.54 and 281,710.02 is: 422,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,870.84 : 775,296.54 = 281,710.02 : x
  2. Step 2: Convert to fraction form
    516,870.84/775,296.54 = 281,710.02/x
  3. Step 3: Cross multiply
    516,870.84x = 775,296.54 × 281,710.02
  4. Step 4: Simplify right side
    516,870.84x = 218,408,803,789.33
  5. Step 5: Solve for x
    x = 218,408,803,789.33/516,870.84
  6. Step 6: Final answer
    x = 422,559.73

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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.