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Finding the Fourth Proportional to 517,672.70, 776,946.45 and 202,355.90

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Solution

The fourth proportional to 517,672.70, 776,946.45 and 202,355.90 is: 303,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,672.70 : 776,946.45 = 202,355.90 : x
  2. Step 2: Convert to fraction form
    517,672.70/776,946.45 = 202,355.90/x
  3. Step 3: Cross multiply
    517,672.70x = 776,946.45 × 202,355.90
  4. Step 4: Simplify right side
    517,672.70x = 157,219,698,141.56
  5. Step 5: Solve for x
    x = 157,219,698,141.56/517,672.70
  6. Step 6: Final answer
    x = 303,704.83

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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.