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Finding the Fourth Proportional to 631,916, 947,908.56 and 188,718.56

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Solution

The fourth proportional to 631,916, 947,908.56 and 188,718.56 is: 283,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,916 : 947,908.56 = 188,718.56 : x
  2. Step 2: Convert to fraction form
    631,916/947,908.56 = 188,718.56/x
  3. Step 3: Cross multiply
    631,916x = 947,908.56 × 188,718.56
  4. Step 4: Simplify right side
    631,916x = 178,887,938,454.87
  5. Step 5: Solve for x
    x = 178,887,938,454.87/631,916
  6. Step 6: Final answer
    x = 283,088.16

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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.