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Finding the Fourth Proportional to 529,495.40, 730,708.44 and 287,778.54

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Solution

The fourth proportional to 529,495.40, 730,708.44 and 287,778.54 is: 397,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,495.40 : 730,708.44 = 287,778.54 : x
  2. Step 2: Convert to fraction form
    529,495.40/730,708.44 = 287,778.54/x
  3. Step 3: Cross multiply
    529,495.40x = 730,708.44 × 287,778.54
  4. Step 4: Simplify right side
    529,495.40x = 210,282,208,028.88
  5. Step 5: Solve for x
    x = 210,282,208,028.88/529,495.40
  6. Step 6: Final answer
    x = 397,136.99

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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.