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Finding the Fourth Proportional to 495,370.50, 742,821.48 and 191,906.78

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Solution

The fourth proportional to 495,370.50, 742,821.48 and 191,906.78 is: 287,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,370.50 : 742,821.48 = 191,906.78 : x
  2. Step 2: Convert to fraction form
    495,370.50/742,821.48 = 191,906.78/x
  3. Step 3: Cross multiply
    495,370.50x = 742,821.48 × 191,906.78
  4. Step 4: Simplify right side
    495,370.50x = 142,552,478,341.63
  5. Step 5: Solve for x
    x = 142,552,478,341.63/495,370.50
  6. Step 6: Final answer
    x = 287,769.41

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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.