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Finding the Fourth Proportional to 857,889, 1,286,920.98 and 296,921.88

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Solution

The fourth proportional to 857,889, 1,286,920.98 and 296,921.88 is: 445,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,889 : 1,286,920.98 = 296,921.88 : x
  2. Step 2: Convert to fraction form
    857,889/1,286,920.98 = 296,921.88/x
  3. Step 3: Cross multiply
    857,889x = 1,286,920.98 × 296,921.88
  4. Step 4: Simplify right side
    857,889x = 382,114,996,793.04
  5. Step 5: Solve for x
    x = 382,114,996,793.04/857,889
  6. Step 6: Final answer
    x = 445,413.10

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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.