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Finding the Fourth Proportional to 529,531.64, 730,761 and 287,814.08

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Solution

The fourth proportional to 529,531.64, 730,761 and 287,814.08 is: 397,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,531.64 : 730,761 = 287,814.08 : x
  2. Step 2: Convert to fraction form
    529,531.64/730,761 = 287,814.08/x
  3. Step 3: Cross multiply
    529,531.64x = 730,761 × 287,814.08
  4. Step 4: Simplify right side
    529,531.64x = 210,323,304,914.88
  5. Step 5: Solve for x
    x = 210,323,304,914.88/529,531.64
  6. Step 6: Final answer
    x = 397,187.42

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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.