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Finding the Fourth Proportional to 291,350.40, 402,071.08 and 164,030.54

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Solution

The fourth proportional to 291,350.40, 402,071.08 and 164,030.54 is: 226,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,350.40 : 402,071.08 = 164,030.54 : x
  2. Step 2: Convert to fraction form
    291,350.40/402,071.08 = 164,030.54/x
  3. Step 3: Cross multiply
    291,350.40x = 402,071.08 × 164,030.54
  4. Step 4: Simplify right side
    291,350.40x = 65,951,936,370.78
  5. Step 5: Solve for x
    x = 65,951,936,370.78/291,350.40
  6. Step 6: Final answer
    x = 226,366.38

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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.