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Finding the Fourth Proportional to 429,581.25, 644,209.88 and 345,133.89

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Solution

The fourth proportional to 429,581.25, 644,209.88 and 345,133.89 is: 517,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,581.25 : 644,209.88 = 345,133.89 : x
  2. Step 2: Convert to fraction form
    429,581.25/644,209.88 = 345,133.89/x
  3. Step 3: Cross multiply
    429,581.25x = 644,209.88 × 345,133.89
  4. Step 4: Simplify right side
    429,581.25x = 222,338,660,135.16
  5. Step 5: Solve for x
    x = 222,338,660,135.16/429,581.25
  6. Step 6: Final answer
    x = 517,570.68

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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.