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Finding the Fourth Proportional to 312,566, 468,926.76 and 90,950

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Solution

The fourth proportional to 312,566, 468,926.76 and 90,950 is: 136,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,566 : 468,926.76 = 90,950 : x
  2. Step 2: Convert to fraction form
    312,566/468,926.76 = 90,950/x
  3. Step 3: Cross multiply
    312,566x = 468,926.76 × 90,950
  4. Step 4: Simplify right side
    312,566x = 42,648,888,822
  5. Step 5: Solve for x
    x = 42,648,888,822/312,566
  6. Step 6: Final answer
    x = 136,447.63

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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.