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Finding the Fourth Proportional to 477,364.98, 715,936.58 and 140,315.46

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Solution

The fourth proportional to 477,364.98, 715,936.58 and 140,315.46 is: 210,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,364.98 : 715,936.58 = 140,315.46 : x
  2. Step 2: Convert to fraction form
    477,364.98/715,936.58 = 140,315.46/x
  3. Step 3: Cross multiply
    477,364.98x = 715,936.58 × 140,315.46
  4. Step 4: Simplify right side
    477,364.98x = 100,456,970,553.53
  5. Step 5: Solve for x
    x = 100,456,970,553.53/477,364.98
  6. Step 6: Final answer
    x = 210,440.60

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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.