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Finding the Fourth Proportional to 529,823.28, 731,133.88 and 300,396

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Solution

The fourth proportional to 529,823.28, 731,133.88 and 300,396 is: 414,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,823.28 : 731,133.88 = 300,396 : x
  2. Step 2: Convert to fraction form
    529,823.28/731,133.88 = 300,396/x
  3. Step 3: Cross multiply
    529,823.28x = 731,133.88 × 300,396
  4. Step 4: Simplify right side
    529,823.28x = 219,629,693,016.48
  5. Step 5: Solve for x
    x = 219,629,693,016.48/529,823.28
  6. Step 6: Final answer
    x = 414,533.87

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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.