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Finding the Fourth Proportional to 370,683, 511,543.62 and 200,917.80

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Solution

The fourth proportional to 370,683, 511,543.62 and 200,917.80 is: 277,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,683 : 511,543.62 = 200,917.80 : x
  2. Step 2: Convert to fraction form
    370,683/511,543.62 = 200,917.80/x
  3. Step 3: Cross multiply
    370,683x = 511,543.62 × 200,917.80
  4. Step 4: Simplify right side
    370,683x = 102,778,218,734.44
  5. Step 5: Solve for x
    x = 102,778,218,734.44/370,683
  6. Step 6: Final answer
    x = 277,267.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.