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Finding the Fourth Proportional to 485,696, 727,169.76 and 257,471.36

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Solution

The fourth proportional to 485,696, 727,169.76 and 257,471.36 is: 385,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,696 : 727,169.76 = 257,471.36 : x
  2. Step 2: Convert to fraction form
    485,696/727,169.76 = 257,471.36/x
  3. Step 3: Cross multiply
    485,696x = 727,169.76 × 257,471.36
  4. Step 4: Simplify right side
    485,696x = 187,225,387,058.07
  5. Step 5: Solve for x
    x = 187,225,387,058.07/485,696
  6. Step 6: Final answer
    x = 385,478.54

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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.