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Finding the Fourth Proportional to 291,349.16, 402,069.32 and 164,029.28

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Solution

The fourth proportional to 291,349.16, 402,069.32 and 164,029.28 is: 226,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,349.16 : 402,069.32 = 164,029.28 : x
  2. Step 2: Convert to fraction form
    291,349.16/402,069.32 = 164,029.28/x
  3. Step 3: Cross multiply
    291,349.16x = 402,069.32 × 164,029.28
  4. Step 4: Simplify right side
    291,349.16x = 65,951,141,069.69
  5. Step 5: Solve for x
    x = 65,951,141,069.69/291,349.16
  6. Step 6: Final answer
    x = 226,364.62

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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.