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Finding the Fourth Proportional to 312,420.02, 468,629.88 and 75,762.66

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Solution

The fourth proportional to 312,420.02, 468,629.88 and 75,762.66 is: 113,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420.02 : 468,629.88 = 75,762.66 : x
  2. Step 2: Convert to fraction form
    312,420.02/468,629.88 = 75,762.66/x
  3. Step 3: Cross multiply
    312,420.02x = 468,629.88 × 75,762.66
  4. Step 4: Simplify right side
    312,420.02x = 35,504,646,264.28
  5. Step 5: Solve for x
    x = 35,504,646,264.28/312,420.02
  6. Step 6: Final answer
    x = 113,643.95

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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.