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Finding the Fourth Proportional to 535,144.36, 738,507.78 and 293,449

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Solution

The fourth proportional to 535,144.36, 738,507.78 and 293,449 is: 404,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,144.36 : 738,507.78 = 293,449 : x
  2. Step 2: Convert to fraction form
    535,144.36/738,507.78 = 293,449/x
  3. Step 3: Cross multiply
    535,144.36x = 738,507.78 × 293,449
  4. Step 4: Simplify right side
    535,144.36x = 216,714,369,533.22
  5. Step 5: Solve for x
    x = 216,714,369,533.22/535,144.36
  6. Step 6: Final answer
    x = 404,964.32

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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.