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Finding the Fourth Proportional to 477,360.82, 715,940.40 and 140,309.80

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Solution

The fourth proportional to 477,360.82, 715,940.40 and 140,309.80 is: 210,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,360.82 : 715,940.40 = 140,309.80 : x
  2. Step 2: Convert to fraction form
    477,360.82/715,940.40 = 140,309.80/x
  3. Step 3: Cross multiply
    477,360.82x = 715,940.40 × 140,309.80
  4. Step 4: Simplify right side
    477,360.82x = 100,453,454,335.92
  5. Step 5: Solve for x
    x = 100,453,454,335.92/477,360.82
  6. Step 6: Final answer
    x = 210,435.06

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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.