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Finding the Fourth Proportional to 312,588, 468,959.76 and 90,972

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Solution

The fourth proportional to 312,588, 468,959.76 and 90,972 is: 136,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,588 : 468,959.76 = 90,972 : x
  2. Step 2: Convert to fraction form
    312,588/468,959.76 = 90,972/x
  3. Step 3: Cross multiply
    312,588x = 468,959.76 × 90,972
  4. Step 4: Simplify right side
    312,588x = 42,662,207,286.72
  5. Step 5: Solve for x
    x = 42,662,207,286.72/312,588
  6. Step 6: Final answer
    x = 136,480.63

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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.