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Finding the Fourth Proportional to 217,038.60, 325,919.16 and 146,415.78

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Solution

The fourth proportional to 217,038.60, 325,919.16 and 146,415.78 is: 219,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,038.60 : 325,919.16 = 146,415.78 : x
  2. Step 2: Convert to fraction form
    217,038.60/325,919.16 = 146,415.78/x
  3. Step 3: Cross multiply
    217,038.60x = 325,919.16 × 146,415.78
  4. Step 4: Simplify right side
    217,038.60x = 47,719,708,028.34
  5. Step 5: Solve for x
    x = 47,719,708,028.34/217,038.60
  6. Step 6: Final answer
    x = 219,867.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.