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Finding the Fourth Proportional to 529,878.11, 731,238.30 and 288,166.82

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Solution

The fourth proportional to 529,878.11, 731,238.30 and 288,166.82 is: 397,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,878.11 : 731,238.30 = 288,166.82 : x
  2. Step 2: Convert to fraction form
    529,878.11/731,238.30 = 288,166.82/x
  3. Step 3: Cross multiply
    529,878.11x = 731,238.30 × 288,166.82
  4. Step 4: Simplify right side
    529,878.11x = 210,718,611,917.02
  5. Step 5: Solve for x
    x = 210,718,611,917.02/529,878.11
  6. Step 6: Final answer
    x = 397,673.75

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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.