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Finding the Fourth Proportional to 529,851.77, 731,200.34 and 288,136.64

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Solution

The fourth proportional to 529,851.77, 731,200.34 and 288,136.64 is: 397,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,851.77 : 731,200.34 = 288,136.64 : x
  2. Step 2: Convert to fraction form
    529,851.77/731,200.34 = 288,136.64/x
  3. Step 3: Cross multiply
    529,851.77x = 731,200.34 × 288,136.64
  4. Step 4: Simplify right side
    529,851.77x = 210,685,606,198.80
  5. Step 5: Solve for x
    x = 210,685,606,198.80/529,851.77
  6. Step 6: Final answer
    x = 397,631.22

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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.