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Finding the Fourth Proportional to 631,871, 947,956.26 and 188,650.52

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Solution

The fourth proportional to 631,871, 947,956.26 and 188,650.52 is: 283,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,871 : 947,956.26 = 188,650.52 : x
  2. Step 2: Convert to fraction form
    631,871/947,956.26 = 188,650.52/x
  3. Step 3: Cross multiply
    631,871x = 947,956.26 × 188,650.52
  4. Step 4: Simplify right side
    631,871x = 178,832,441,386.26
  5. Step 5: Solve for x
    x = 178,832,441,386.26/631,871
  6. Step 6: Final answer
    x = 283,020.49

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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.