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Finding the Fourth Proportional to 490,687.70, 735,595.32 and 191,099.06

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Solution

The fourth proportional to 490,687.70, 735,595.32 and 191,099.06 is: 286,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,687.70 : 735,595.32 = 191,099.06 : x
  2. Step 2: Convert to fraction form
    490,687.70/735,595.32 = 191,099.06/x
  3. Step 3: Cross multiply
    490,687.70x = 735,595.32 × 191,099.06
  4. Step 4: Simplify right side
    490,687.70x = 140,571,574,192.40
  5. Step 5: Solve for x
    x = 140,571,574,192.40/490,687.70
  6. Step 6: Final answer
    x = 286,478.70

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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.