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Finding the Fourth Proportional to 631,181.12, 946,771.80 and 157,866.52

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Solution

The fourth proportional to 631,181.12, 946,771.80 and 157,866.52 is: 236,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,181.12 : 946,771.80 = 157,866.52 : x
  2. Step 2: Convert to fraction form
    631,181.12/946,771.80 = 157,866.52/x
  3. Step 3: Cross multiply
    631,181.12x = 946,771.80 × 157,866.52
  4. Step 4: Simplify right side
    631,181.12x = 149,463,569,300.14
  5. Step 5: Solve for x
    x = 149,463,569,300.14/631,181.12
  6. Step 6: Final answer
    x = 236,799.81

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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.