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Finding the Fourth Proportional to 643,017.64, 964,329.47 and 444,613

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Solution

The fourth proportional to 643,017.64, 964,329.47 and 444,613 is: 666,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,017.64 : 964,329.47 = 444,613 : x
  2. Step 2: Convert to fraction form
    643,017.64/964,329.47 = 444,613/x
  3. Step 3: Cross multiply
    643,017.64x = 964,329.47 × 444,613
  4. Step 4: Simplify right side
    643,017.64x = 428,753,418,645.11
  5. Step 5: Solve for x
    x = 428,753,418,645.11/643,017.64
  6. Step 6: Final answer
    x = 666,783.29

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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.