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Finding the Fourth Proportional to 291,942.89, 402,881.01 and 157,806.89

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Solution

The fourth proportional to 291,942.89, 402,881.01 and 157,806.89 is: 217,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,942.89 : 402,881.01 = 157,806.89 : x
  2. Step 2: Convert to fraction form
    291,942.89/402,881.01 = 157,806.89/x
  3. Step 3: Cross multiply
    291,942.89x = 402,881.01 × 157,806.89
  4. Step 4: Simplify right side
    291,942.89x = 63,577,399,228.16
  5. Step 5: Solve for x
    x = 63,577,399,228.16/291,942.89
  6. Step 6: Final answer
    x = 217,773.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.