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Finding the Fourth Proportional to 631,965, 948,111.66 and 188,733

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Solution

The fourth proportional to 631,965, 948,111.66 and 188,733 is: 283,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,965 : 948,111.66 = 188,733 : x
  2. Step 2: Convert to fraction form
    631,965/948,111.66 = 188,733/x
  3. Step 3: Cross multiply
    631,965x = 948,111.66 × 188,733
  4. Step 4: Simplify right side
    631,965x = 178,939,957,926.78
  5. Step 5: Solve for x
    x = 178,939,957,926.78/631,965
  6. Step 6: Final answer
    x = 283,148.53

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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.