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Finding the Fourth Proportional to 495,142.34, 742,625.74 and 225,207.43

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Solution

The fourth proportional to 495,142.34, 742,625.74 and 225,207.43 is: 337,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,142.34 : 742,625.74 = 225,207.43 : x
  2. Step 2: Convert to fraction form
    495,142.34/742,625.74 = 225,207.43/x
  3. Step 3: Cross multiply
    495,142.34x = 742,625.74 × 225,207.43
  4. Step 4: Simplify right side
    495,142.34x = 167,244,832,371.27
  5. Step 5: Solve for x
    x = 167,244,832,371.27/495,142.34
  6. Step 6: Final answer
    x = 337,771.22

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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.