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Finding the Fourth Proportional to 291,437.82, 402,240.74 and 164,114.19

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Solution

The fourth proportional to 291,437.82, 402,240.74 and 164,114.19 is: 226,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,437.82 : 402,240.74 = 164,114.19 : x
  2. Step 2: Convert to fraction form
    291,437.82/402,240.74 = 164,114.19/x
  3. Step 3: Cross multiply
    291,437.82x = 402,240.74 × 164,114.19
  4. Step 4: Simplify right side
    291,437.82x = 66,013,412,409.53
  5. Step 5: Solve for x
    x = 66,013,412,409.53/291,437.82
  6. Step 6: Final answer
    x = 226,509.42

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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.