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Finding the Fourth Proportional to 383,359.65, 529,126.46 and 238,275

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Solution

The fourth proportional to 383,359.65, 529,126.46 and 238,275 is: 328,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,359.65 : 529,126.46 = 238,275 : x
  2. Step 2: Convert to fraction form
    383,359.65/529,126.46 = 238,275/x
  3. Step 3: Cross multiply
    383,359.65x = 529,126.46 × 238,275
  4. Step 4: Simplify right side
    383,359.65x = 126,077,608,298.95
  5. Step 5: Solve for x
    x = 126,077,608,298.95/383,359.65
  6. Step 6: Final answer
    x = 328,875.53

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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.