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Finding the Fourth Proportional to 215,216.10, 322,969.95 and 140,153.40

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Solution

The fourth proportional to 215,216.10, 322,969.95 and 140,153.40 is: 210,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,216.10 : 322,969.95 = 140,153.40 : x
  2. Step 2: Convert to fraction form
    215,216.10/322,969.95 = 140,153.40/x
  3. Step 3: Cross multiply
    215,216.10x = 322,969.95 × 140,153.40
  4. Step 4: Simplify right side
    215,216.10x = 45,265,336,590.33
  5. Step 5: Solve for x
    x = 45,265,336,590.33/215,216.10
  6. Step 6: Final answer
    x = 210,325.05

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1.5x scale

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.