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Finding the Fourth Proportional to 371,486.12, 512,646.30 and 201,721.46

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Solution

The fourth proportional to 371,486.12, 512,646.30 and 201,721.46 is: 278,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,486.12 : 512,646.30 = 201,721.46 : x
  2. Step 2: Convert to fraction form
    371,486.12/512,646.30 = 201,721.46/x
  3. Step 3: Cross multiply
    371,486.12x = 512,646.30 × 201,721.46
  4. Step 4: Simplify right side
    371,486.12x = 103,411,757,536.37
  5. Step 5: Solve for x
    x = 103,411,757,536.37/371,486.12
  6. Step 6: Final answer
    x = 278,373.14

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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.