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Finding the Fourth Proportional to 529,697.34, 730,966.95 and 300,275.78

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Solution

The fourth proportional to 529,697.34, 730,966.95 and 300,275.78 is: 414,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,697.34 : 730,966.95 = 300,275.78 : x
  2. Step 2: Convert to fraction form
    529,697.34/730,966.95 = 300,275.78/x
  3. Step 3: Cross multiply
    529,697.34x = 730,966.95 × 300,275.78
  4. Step 4: Simplify right side
    529,697.34x = 219,491,667,410.64
  5. Step 5: Solve for x
    x = 219,491,667,410.64/529,697.34
  6. Step 6: Final answer
    x = 414,371.85

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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.