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Finding the Fourth Proportional to 871,907.09, 1,306,642.59 and 422,508.76

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Solution

The fourth proportional to 871,907.09, 1,306,642.59 and 422,508.76 is: 633,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,907.09 : 1,306,642.59 = 422,508.76 : x
  2. Step 2: Convert to fraction form
    871,907.09/1,306,642.59 = 422,508.76/x
  3. Step 3: Cross multiply
    871,907.09x = 1,306,642.59 × 422,508.76
  4. Step 4: Simplify right side
    871,907.09x = 552,067,937,197.48
  5. Step 5: Solve for x
    x = 552,067,937,197.48/871,907.09
  6. Step 6: Final answer
    x = 633,172.90

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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.