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Finding the Fourth Proportional to 371,695.34, 512,945.80 and 201,929.60

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Solution

The fourth proportional to 371,695.34, 512,945.80 and 201,929.60 is: 278,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,695.34 : 512,945.80 = 201,929.60 : x
  2. Step 2: Convert to fraction form
    371,695.34/512,945.80 = 201,929.60/x
  3. Step 3: Cross multiply
    371,695.34x = 512,945.80 × 201,929.60
  4. Step 4: Simplify right side
    371,695.34x = 103,578,940,215.68
  5. Step 5: Solve for x
    x = 103,578,940,215.68/371,695.34
  6. Step 6: Final answer
    x = 278,666.23

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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.