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Finding the Fourth Proportional to 521,203.52, 719,262.24 and 282,739.52

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Solution

The fourth proportional to 521,203.52, 719,262.24 and 282,739.52 is: 390,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,203.52 : 719,262.24 = 282,739.52 : x
  2. Step 2: Convert to fraction form
    521,203.52/719,262.24 = 282,739.52/x
  3. Step 3: Cross multiply
    521,203.52x = 719,262.24 × 282,739.52
  4. Step 4: Simplify right side
    521,203.52x = 203,363,860,491.73
  5. Step 5: Solve for x
    x = 203,363,860,491.73/521,203.52
  6. Step 6: Final answer
    x = 390,181.29

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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.