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Finding the Fourth Proportional to 611,701.20, 917,551.80 and 442,864.80

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Solution

The fourth proportional to 611,701.20, 917,551.80 and 442,864.80 is: 664,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,701.20 : 917,551.80 = 442,864.80 : x
  2. Step 2: Convert to fraction form
    611,701.20/917,551.80 = 442,864.80/x
  3. Step 3: Cross multiply
    611,701.20x = 917,551.80 × 442,864.80
  4. Step 4: Simplify right side
    611,701.20x = 406,351,394,396.64
  5. Step 5: Solve for x
    x = 406,351,394,396.64/611,701.20
  6. Step 6: Final answer
    x = 664,297.20

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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.