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Finding the Fourth Proportional to 687,759.84, 1,031,672.56 and 288,413.64

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Solution

The fourth proportional to 687,759.84, 1,031,672.56 and 288,413.64 is: 432,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,759.84 : 1,031,672.56 = 288,413.64 : x
  2. Step 2: Convert to fraction form
    687,759.84/1,031,672.56 = 288,413.64/x
  3. Step 3: Cross multiply
    687,759.84x = 1,031,672.56 × 288,413.64
  4. Step 4: Simplify right side
    687,759.84x = 297,548,438,317.72
  5. Step 5: Solve for x
    x = 297,548,438,317.72/687,759.84
  6. Step 6: Final answer
    x = 432,634.21

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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.