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Finding the Fourth Proportional to 703,277.18, 971,809.89 and 511,958.42

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Solution

The fourth proportional to 703,277.18, 971,809.89 and 511,958.42 is: 707,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,277.18 : 971,809.89 = 511,958.42 : x
  2. Step 2: Convert to fraction form
    703,277.18/971,809.89 = 511,958.42/x
  3. Step 3: Cross multiply
    703,277.18x = 971,809.89 × 511,958.42
  4. Step 4: Simplify right side
    703,277.18x = 497,526,255,824.77
  5. Step 5: Solve for x
    x = 497,526,255,824.77/703,277.18
  6. Step 6: Final answer
    x = 707,439.78

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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.