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Finding the Fourth Proportional to 507,286.42, 760,699.59 and 191,519.26

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Solution

The fourth proportional to 507,286.42, 760,699.59 and 191,519.26 is: 287,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,286.42 : 760,699.59 = 191,519.26 : x
  2. Step 2: Convert to fraction form
    507,286.42/760,699.59 = 191,519.26/x
  3. Step 3: Cross multiply
    507,286.42x = 760,699.59 × 191,519.26
  4. Step 4: Simplify right side
    507,286.42x = 145,688,622,559.10
  5. Step 5: Solve for x
    x = 145,688,622,559.10/507,286.42
  6. Step 6: Final answer
    x = 287,192.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.