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Finding the Fourth Proportional to 349,455, 482,286.78 and 215,319

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Solution

The fourth proportional to 349,455, 482,286.78 and 215,319 is: 297,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,455 : 482,286.78 = 215,319 : x
  2. Step 2: Convert to fraction form
    349,455/482,286.78 = 215,319/x
  3. Step 3: Cross multiply
    349,455x = 482,286.78 × 215,319
  4. Step 4: Simplify right side
    349,455x = 103,845,507,182.82
  5. Step 5: Solve for x
    x = 103,845,507,182.82/349,455
  6. Step 6: Final answer
    x = 297,164.18

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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.