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Finding the Fourth Proportional to 529,796.97, 731,390.72 and 408,666.33

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Solution

The fourth proportional to 529,796.97, 731,390.72 and 408,666.33 is: 564,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,796.97 : 731,390.72 = 408,666.33 : x
  2. Step 2: Convert to fraction form
    529,796.97/731,390.72 = 408,666.33/x
  3. Step 3: Cross multiply
    529,796.97x = 731,390.72 × 408,666.33
  4. Step 4: Simplify right side
    529,796.97x = 298,894,759,295.13
  5. Step 5: Solve for x
    x = 298,894,759,295.13/529,796.97
  6. Step 6: Final answer
    x = 564,168.50

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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.