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Finding the Fourth Proportional to 208,905.70, 313,358.55 and 200,740.90

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Solution

The fourth proportional to 208,905.70, 313,358.55 and 200,740.90 is: 301,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,905.70 : 313,358.55 = 200,740.90 : x
  2. Step 2: Convert to fraction form
    208,905.70/313,358.55 = 200,740.90/x
  3. Step 3: Cross multiply
    208,905.70x = 313,358.55 × 200,740.90
  4. Step 4: Simplify right side
    208,905.70x = 62,903,877,349.70
  5. Step 5: Solve for x
    x = 62,903,877,349.70/208,905.70
  6. Step 6: Final answer
    x = 301,111.35

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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.