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Finding the Fourth Proportional to 512,132.95, 767,765.61 and 212,426.47

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Solution

The fourth proportional to 512,132.95, 767,765.61 and 212,426.47 is: 318,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,132.95 : 767,765.61 = 212,426.47 : x
  2. Step 2: Convert to fraction form
    512,132.95/767,765.61 = 212,426.47/x
  3. Step 3: Cross multiply
    512,132.95x = 767,765.61 × 212,426.47
  4. Step 4: Simplify right side
    512,132.95x = 163,093,738,319.70
  5. Step 5: Solve for x
    x = 163,093,738,319.70/512,132.95
  6. Step 6: Final answer
    x = 318,459.76

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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.