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Finding the Fourth Proportional to 890,610, 1,229,046.12 and 532,914

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Solution

The fourth proportional to 890,610, 1,229,046.12 and 532,914 is: 735,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,610 : 1,229,046.12 = 532,914 : x
  2. Step 2: Convert to fraction form
    890,610/1,229,046.12 = 532,914/x
  3. Step 3: Cross multiply
    890,610x = 1,229,046.12 × 532,914
  4. Step 4: Simplify right side
    890,610x = 654,975,883,993.68
  5. Step 5: Solve for x
    x = 654,975,883,993.68/890,610
  6. Step 6: Final answer
    x = 735,423.90

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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.