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Finding the Fourth Proportional to 291,423.48, 402,202.70 and 164,123.96

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Solution

The fourth proportional to 291,423.48, 402,202.70 and 164,123.96 is: 226,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,423.48 : 402,202.70 = 164,123.96 : x
  2. Step 2: Convert to fraction form
    291,423.48/402,202.70 = 164,123.96/x
  3. Step 3: Cross multiply
    291,423.48x = 402,202.70 × 164,123.96
  4. Step 4: Simplify right side
    291,423.48x = 66,011,099,846.69
  5. Step 5: Solve for x
    x = 66,011,099,846.69/291,423.48
  6. Step 6: Final answer
    x = 226,512.63

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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.