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Finding the Fourth Proportional to 529,142.36, 730,195.44 and 287,420

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Solution

The fourth proportional to 529,142.36, 730,195.44 and 287,420 is: 396,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,142.36 : 730,195.44 = 287,420 : x
  2. Step 2: Convert to fraction form
    529,142.36/730,195.44 = 287,420/x
  3. Step 3: Cross multiply
    529,142.36x = 730,195.44 × 287,420
  4. Step 4: Simplify right side
    529,142.36x = 209,872,773,364.80
  5. Step 5: Solve for x
    x = 209,872,773,364.80/529,142.36
  6. Step 6: Final answer
    x = 396,628.18

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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.