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Finding the Fourth Proportional to 371,549.94, 512,744.85 and 201,784.05

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Solution

The fourth proportional to 371,549.94, 512,744.85 and 201,784.05 is: 278,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,549.94 : 512,744.85 = 201,784.05 : x
  2. Step 2: Convert to fraction form
    371,549.94/512,744.85 = 201,784.05/x
  3. Step 3: Cross multiply
    371,549.94x = 512,744.85 × 201,784.05
  4. Step 4: Simplify right side
    371,549.94x = 103,463,732,449.64
  5. Step 5: Solve for x
    x = 103,463,732,449.64/371,549.94
  6. Step 6: Final answer
    x = 278,465.21

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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.