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Finding the Fourth Proportional to 221,269.55, 305,400.31 and 140,681.32

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Solution

The fourth proportional to 221,269.55, 305,400.31 and 140,681.32 is: 194,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,269.55 : 305,400.31 = 140,681.32 : x
  2. Step 2: Convert to fraction form
    221,269.55/305,400.31 = 140,681.32/x
  3. Step 3: Cross multiply
    221,269.55x = 305,400.31 × 140,681.32
  4. Step 4: Simplify right side
    221,269.55x = 42,964,117,624.01
  5. Step 5: Solve for x
    x = 42,964,117,624.01/221,269.55
  6. Step 6: Final answer
    x = 194,170.95

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1.5x scale

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.