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Finding the Fourth Proportional to 208,385.70, 312,578.55 and 199,637.70

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Solution

The fourth proportional to 208,385.70, 312,578.55 and 199,637.70 is: 299,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,385.70 : 312,578.55 = 199,637.70 : x
  2. Step 2: Convert to fraction form
    208,385.70/312,578.55 = 199,637.70/x
  3. Step 3: Cross multiply
    208,385.70x = 312,578.55 × 199,637.70
  4. Step 4: Simplify right side
    208,385.70x = 62,402,462,791.34
  5. Step 5: Solve for x
    x = 62,402,462,791.34/208,385.70
  6. Step 6: Final answer
    x = 299,456.55

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1.5x scale

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.