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Finding the Fourth Proportional to 521,735.87, 719,832.08 and 292,262.16

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Solution

The fourth proportional to 521,735.87, 719,832.08 and 292,262.16 is: 403,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,735.87 : 719,832.08 = 292,262.16 : x
  2. Step 2: Convert to fraction form
    521,735.87/719,832.08 = 292,262.16/x
  3. Step 3: Cross multiply
    521,735.87x = 719,832.08 × 292,262.16
  4. Step 4: Simplify right side
    521,735.87x = 210,379,678,538.09
  5. Step 5: Solve for x
    x = 210,379,678,538.09/521,735.87
  6. Step 6: Final answer
    x = 403,230.24

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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.