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Finding the Fourth Proportional to 429,215.49, 644,455.25 and 240,046.49

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Solution

The fourth proportional to 429,215.49, 644,455.25 and 240,046.49 is: 360,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,215.49 : 644,455.25 = 240,046.49 : x
  2. Step 2: Convert to fraction form
    429,215.49/644,455.25 = 240,046.49/x
  3. Step 3: Cross multiply
    429,215.49x = 644,455.25 × 240,046.49
  4. Step 4: Simplify right side
    429,215.49x = 154,699,218,748.15
  5. Step 5: Solve for x
    x = 154,699,218,748.15/429,215.49
  6. Step 6: Final answer
    x = 360,423.19

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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.