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Finding the Fourth Proportional to 499,947.84, 749,969.82 and 140,118.84

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Solution

The fourth proportional to 499,947.84, 749,969.82 and 140,118.84 is: 210,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,947.84 : 749,969.82 = 140,118.84 : x
  2. Step 2: Convert to fraction form
    499,947.84/749,969.82 = 140,118.84/x
  3. Step 3: Cross multiply
    499,947.84x = 749,969.82 × 140,118.84
  4. Step 4: Simplify right side
    499,947.84x = 105,084,901,213.41
  5. Step 5: Solve for x
    x = 105,084,901,213.41/499,947.84
  6. Step 6: Final answer
    x = 210,191.73

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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.