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Finding the Fourth Proportional to 291,491.87, 402,264.02 and 164,172.02

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Solution

The fourth proportional to 291,491.87, 402,264.02 and 164,172.02 is: 226,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,491.87 : 402,264.02 = 164,172.02 : x
  2. Step 2: Convert to fraction form
    291,491.87/402,264.02 = 164,172.02/x
  3. Step 3: Cross multiply
    291,491.87x = 402,264.02 × 164,172.02
  4. Step 4: Simplify right side
    291,491.87x = 66,040,495,135.83
  5. Step 5: Solve for x
    x = 66,040,495,135.83/291,491.87
  6. Step 6: Final answer
    x = 226,560.34

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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.