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Finding the Fourth Proportional to 413,820, 571,072.20 and 234,972

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Solution

The fourth proportional to 413,820, 571,072.20 and 234,972 is: 324,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,820 : 571,072.20 = 234,972 : x
  2. Step 2: Convert to fraction form
    413,820/571,072.20 = 234,972/x
  3. Step 3: Cross multiply
    413,820x = 571,072.20 × 234,972
  4. Step 4: Simplify right side
    413,820x = 134,185,976,978.40
  5. Step 5: Solve for x
    x = 134,185,976,978.40/413,820
  6. Step 6: Final answer
    x = 324,261.70

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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.