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Finding the Fourth Proportional to 529,463.50, 730,665.23 and 287,746.07

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Solution

The fourth proportional to 529,463.50, 730,665.23 and 287,746.07 is: 397,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,463.50 : 730,665.23 = 287,746.07 : x
  2. Step 2: Convert to fraction form
    529,463.50/730,665.23 = 287,746.07/x
  3. Step 3: Cross multiply
    529,463.50x = 730,665.23 × 287,746.07
  4. Step 4: Simplify right side
    529,463.50x = 210,246,043,326.09
  5. Step 5: Solve for x
    x = 210,246,043,326.09/529,463.50
  6. Step 6: Final answer
    x = 397,092.61

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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.