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Finding the Fourth Proportional to 369,991, 510,122.64 and 301,939.12

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Solution

The fourth proportional to 369,991, 510,122.64 and 301,939.12 is: 416,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,991 : 510,122.64 = 301,939.12 : x
  2. Step 2: Convert to fraction form
    369,991/510,122.64 = 301,939.12/x
  3. Step 3: Cross multiply
    369,991x = 510,122.64 × 301,939.12
  4. Step 4: Simplify right side
    369,991x = 154,025,981,013.68
  5. Step 5: Solve for x
    x = 154,025,981,013.68/369,991
  6. Step 6: Final answer
    x = 416,296.56

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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.