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Finding the Fourth Proportional to 631,734, 947,765.16 and 188,502

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Solution

The fourth proportional to 631,734, 947,765.16 and 188,502 is: 282,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,734 : 947,765.16 = 188,502 : x
  2. Step 2: Convert to fraction form
    631,734/947,765.16 = 188,502/x
  3. Step 3: Cross multiply
    631,734x = 947,765.16 × 188,502
  4. Step 4: Simplify right side
    631,734x = 178,655,628,190.32
  5. Step 5: Solve for x
    x = 178,655,628,190.32/631,734
  6. Step 6: Final answer
    x = 282,801.98

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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.