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Finding the Fourth Proportional to 312,592, 468,965.76 and 90,976

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Solution

The fourth proportional to 312,592, 468,965.76 and 90,976 is: 136,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,592 : 468,965.76 = 90,976 : x
  2. Step 2: Convert to fraction form
    312,592/468,965.76 = 90,976/x
  3. Step 3: Cross multiply
    312,592x = 468,965.76 × 90,976
  4. Step 4: Simplify right side
    312,592x = 42,664,628,981.76
  5. Step 5: Solve for x
    x = 42,664,628,981.76/312,592
  6. Step 6: Final answer
    x = 136,486.63

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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.