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Finding the Fourth Proportional to 292,378.87, 438,215.10 and 142,394.41

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Solution

The fourth proportional to 292,378.87, 438,215.10 and 142,394.41 is: 213,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,378.87 : 438,215.10 = 142,394.41 : x
  2. Step 2: Convert to fraction form
    292,378.87/438,215.10 = 142,394.41/x
  3. Step 3: Cross multiply
    292,378.87x = 438,215.10 × 142,394.41
  4. Step 4: Simplify right side
    292,378.87x = 62,399,380,617.59
  5. Step 5: Solve for x
    x = 62,399,380,617.59/292,378.87
  6. Step 6: Final answer
    x = 213,419.60

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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.