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Finding the Fourth Proportional to 371,980.84, 513,336.54 and 202,214.56

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Solution

The fourth proportional to 371,980.84, 513,336.54 and 202,214.56 is: 279,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,980.84 : 513,336.54 = 202,214.56 : x
  2. Step 2: Convert to fraction form
    371,980.84/513,336.54 = 202,214.56/x
  3. Step 3: Cross multiply
    371,980.84x = 513,336.54 × 202,214.56
  4. Step 4: Simplify right side
    371,980.84x = 103,804,122,568.02
  5. Step 5: Solve for x
    x = 103,804,122,568.02/371,980.84
  6. Step 6: Final answer
    x = 279,057.71

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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.