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Finding the Fourth Proportional to 428,990.51, 643,489.52 and 109,142.66

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Solution

The fourth proportional to 428,990.51, 643,489.52 and 109,142.66 is: 163,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,990.51 : 643,489.52 = 109,142.66 : x
  2. Step 2: Convert to fraction form
    428,990.51/643,489.52 = 109,142.66/x
  3. Step 3: Cross multiply
    428,990.51x = 643,489.52 × 109,142.66
  4. Step 4: Simplify right side
    428,990.51x = 70,232,158,957.93
  5. Step 5: Solve for x
    x = 70,232,158,957.93/428,990.51
  6. Step 6: Final answer
    x = 163,714.95

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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.