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Finding the Fourth Proportional to 215,578.64, 323,506.32 and 144,581.48

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Solution

The fourth proportional to 215,578.64, 323,506.32 and 144,581.48 is: 216,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,578.64 : 323,506.32 = 144,581.48 : x
  2. Step 2: Convert to fraction form
    215,578.64/323,506.32 = 144,581.48/x
  3. Step 3: Cross multiply
    215,578.64x = 323,506.32 × 144,581.48
  4. Step 4: Simplify right side
    215,578.64x = 46,773,022,534.95
  5. Step 5: Solve for x
    x = 46,773,022,534.95/215,578.64
  6. Step 6: Final answer
    x = 216,965.01

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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.