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Finding the Fourth Proportional to 369,805, 510,330.66 and 200,039.12

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Solution

The fourth proportional to 369,805, 510,330.66 and 200,039.12 is: 276,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,805 : 510,330.66 = 200,039.12 : x
  2. Step 2: Convert to fraction form
    369,805/510,330.66 = 200,039.12/x
  3. Step 3: Cross multiply
    369,805x = 510,330.66 × 200,039.12
  4. Step 4: Simplify right side
    369,805x = 102,086,096,135.42
  5. Step 5: Solve for x
    x = 102,086,096,135.42/369,805
  6. Step 6: Final answer
    x = 276,053.86

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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.