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Finding the Fourth Proportional to 529,056, 730,102.64 and 287,343.29

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Solution

The fourth proportional to 529,056, 730,102.64 and 287,343.29 is: 396,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,056 : 730,102.64 = 287,343.29 : x
  2. Step 2: Convert to fraction form
    529,056/730,102.64 = 287,343.29/x
  3. Step 3: Cross multiply
    529,056x = 730,102.64 × 287,343.29
  4. Step 4: Simplify right side
    529,056x = 209,790,095,003.83
  5. Step 5: Solve for x
    x = 209,790,095,003.83/529,056
  6. Step 6: Final answer
    x = 396,536.65

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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.