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Finding the Fourth Proportional to 554,286.92, 830,584.50 and 288,133.88

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Solution

The fourth proportional to 554,286.92, 830,584.50 and 288,133.88 is: 431,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,286.92 : 830,584.50 = 288,133.88 : x
  2. Step 2: Convert to fraction form
    554,286.92/830,584.50 = 288,133.88/x
  3. Step 3: Cross multiply
    554,286.92x = 830,584.50 × 288,133.88
  4. Step 4: Simplify right side
    554,286.92x = 239,319,534,652.86
  5. Step 5: Solve for x
    x = 239,319,534,652.86/554,286.92
  6. Step 6: Final answer
    x = 431,761.11

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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.