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Finding the Fourth Proportional to 221,699.31, 305,854.47 and 163,695.06

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Solution

The fourth proportional to 221,699.31, 305,854.47 and 163,695.06 is: 225,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,699.31 : 305,854.47 = 163,695.06 : x
  2. Step 2: Convert to fraction form
    221,699.31/305,854.47 = 163,695.06/x
  3. Step 3: Cross multiply
    221,699.31x = 305,854.47 × 163,695.06
  4. Step 4: Simplify right side
    221,699.31x = 50,066,865,817.92
  5. Step 5: Solve for x
    x = 50,066,865,817.92/221,699.31
  6. Step 6: Final answer
    x = 225,832.30

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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.