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Finding the Fourth Proportional to 498,346.48, 687,696.78 and 294,463

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Solution

The fourth proportional to 498,346.48, 687,696.78 and 294,463 is: 406,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,346.48 : 687,696.78 = 294,463 : x
  2. Step 2: Convert to fraction form
    498,346.48/687,696.78 = 294,463/x
  3. Step 3: Cross multiply
    498,346.48x = 687,696.78 × 294,463
  4. Step 4: Simplify right side
    498,346.48x = 202,501,256,929.14
  5. Step 5: Solve for x
    x = 202,501,256,929.14/498,346.48
  6. Step 6: Final answer
    x = 406,346.32

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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.