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Finding the Fourth Proportional to 697,641.22, 962,686.01 and 422,101.70

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Solution

The fourth proportional to 697,641.22, 962,686.01 and 422,101.70 is: 582,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,641.22 : 962,686.01 = 422,101.70 : x
  2. Step 2: Convert to fraction form
    697,641.22/962,686.01 = 422,101.70/x
  3. Step 3: Cross multiply
    697,641.22x = 962,686.01 × 422,101.70
  4. Step 4: Simplify right side
    697,641.22x = 406,351,401,239.11
  5. Step 5: Solve for x
    x = 406,351,401,239.11/697,641.22
  6. Step 6: Final answer
    x = 582,464.72

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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.