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Finding the Fourth Proportional to 208,867.70, 313,301.55 and 205,411.70

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Solution

The fourth proportional to 208,867.70, 313,301.55 and 205,411.70 is: 308,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,867.70 : 313,301.55 = 205,411.70 : x
  2. Step 2: Convert to fraction form
    208,867.70/313,301.55 = 205,411.70/x
  3. Step 3: Cross multiply
    208,867.70x = 313,301.55 × 205,411.70
  4. Step 4: Simplify right side
    208,867.70x = 64,355,803,998.14
  5. Step 5: Solve for x
    x = 64,355,803,998.14/208,867.70
  6. Step 6: Final answer
    x = 308,117.55

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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.