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Finding the Fourth Proportional to 507,965.23, 761,964 and 188,197.18

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Solution

The fourth proportional to 507,965.23, 761,964 and 188,197.18 is: 282,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,965.23 : 761,964 = 188,197.18 : x
  2. Step 2: Convert to fraction form
    507,965.23/761,964 = 188,197.18/x
  3. Step 3: Cross multiply
    507,965.23x = 761,964 × 188,197.18
  4. Step 4: Simplify right side
    507,965.23x = 143,399,476,061.52
  5. Step 5: Solve for x
    x = 143,399,476,061.52/507,965.23
  6. Step 6: Final answer
    x = 282,301.76

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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.