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Finding the Fourth Proportional to 442,131.84, 663,326.93 and 142,605.79

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Solution

The fourth proportional to 442,131.84, 663,326.93 and 142,605.79 is: 213,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,131.84 : 663,326.93 = 142,605.79 : x
  2. Step 2: Convert to fraction form
    442,131.84/663,326.93 = 142,605.79/x
  3. Step 3: Cross multiply
    442,131.84x = 663,326.93 × 142,605.79
  4. Step 4: Simplify right side
    442,131.84x = 94,594,259,579.12
  5. Step 5: Solve for x
    x = 94,594,259,579.12/442,131.84
  6. Step 6: Final answer
    x = 213,950.34

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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.