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Finding the Fourth Proportional to 535,285, 738,693.30 and 296,821

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Solution

The fourth proportional to 535,285, 738,693.30 and 296,821 is: 409,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,285 : 738,693.30 = 296,821 : x
  2. Step 2: Convert to fraction form
    535,285/738,693.30 = 296,821/x
  3. Step 3: Cross multiply
    535,285x = 738,693.30 × 296,821
  4. Step 4: Simplify right side
    535,285x = 219,259,683,999.30
  5. Step 5: Solve for x
    x = 219,259,683,999.30/535,285
  6. Step 6: Final answer
    x = 409,612.98

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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.