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Finding the Fourth Proportional to 501,943.70, 692,696.74 and 284,135.54

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Solution

The fourth proportional to 501,943.70, 692,696.74 and 284,135.54 is: 392,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,943.70 : 692,696.74 = 284,135.54 : x
  2. Step 2: Convert to fraction form
    501,943.70/692,696.74 = 284,135.54/x
  3. Step 3: Cross multiply
    501,943.70x = 692,696.74 × 284,135.54
  4. Step 4: Simplify right side
    501,943.70x = 196,819,762,276.14
  5. Step 5: Solve for x
    x = 196,819,762,276.14/501,943.70
  6. Step 6: Final answer
    x = 392,115.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.