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Finding the Fourth Proportional to 371,549.92, 512,738.88 and 201,784

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Solution

The fourth proportional to 371,549.92, 512,738.88 and 201,784 is: 278,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,549.92 : 512,738.88 = 201,784 : x
  2. Step 2: Convert to fraction form
    371,549.92/512,738.88 = 201,784/x
  3. Step 3: Cross multiply
    371,549.92x = 512,738.88 × 201,784
  4. Step 4: Simplify right side
    371,549.92x = 103,462,502,161.92
  5. Step 5: Solve for x
    x = 103,462,502,161.92/371,549.92
  6. Step 6: Final answer
    x = 278,461.91

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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.