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Finding the Fourth Proportional to 371,062.14, 512,065.89 and 209,913.78

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Solution

The fourth proportional to 371,062.14, 512,065.89 and 209,913.78 is: 289,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,062.14 : 512,065.89 = 209,913.78 : x
  2. Step 2: Convert to fraction form
    371,062.14/512,065.89 = 209,913.78/x
  3. Step 3: Cross multiply
    371,062.14x = 512,065.89 × 209,913.78
  4. Step 4: Simplify right side
    371,062.14x = 107,489,686,578.96
  5. Step 5: Solve for x
    x = 107,489,686,578.96/371,062.14
  6. Step 6: Final answer
    x = 289,681.09

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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.