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Finding the Fourth Proportional to 516,122.66, 712,306.50 and 301,315.52

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Solution

The fourth proportional to 516,122.66, 712,306.50 and 301,315.52 is: 415,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,122.66 : 712,306.50 = 301,315.52 : x
  2. Step 2: Convert to fraction form
    516,122.66/712,306.50 = 301,315.52/x
  3. Step 3: Cross multiply
    516,122.66x = 712,306.50 × 301,315.52
  4. Step 4: Simplify right side
    516,122.66x = 214,629,003,446.88
  5. Step 5: Solve for x
    x = 214,629,003,446.88/516,122.66
  6. Step 6: Final answer
    x = 415,848.83

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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.