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Finding the Fourth Proportional to 442,208.78, 663,443.31 and 142,683.74

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Solution

The fourth proportional to 442,208.78, 663,443.31 and 142,683.74 is: 214,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,208.78 : 663,443.31 = 142,683.74 : x
  2. Step 2: Convert to fraction form
    442,208.78/663,443.31 = 142,683.74/x
  3. Step 3: Cross multiply
    442,208.78x = 663,443.31 × 142,683.74
  4. Step 4: Simplify right side
    442,208.78x = 94,662,572,748.78
  5. Step 5: Solve for x
    x = 94,662,572,748.78/442,208.78
  6. Step 6: Final answer
    x = 214,067.60

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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.