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Finding the Fourth Proportional to 311,953.20, 467,929.80 and 238,225.20

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Solution

The fourth proportional to 311,953.20, 467,929.80 and 238,225.20 is: 357,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,953.20 : 467,929.80 = 238,225.20 : x
  2. Step 2: Convert to fraction form
    311,953.20/467,929.80 = 238,225.20/x
  3. Step 3: Cross multiply
    311,953.20x = 467,929.80 × 238,225.20
  4. Step 4: Simplify right side
    311,953.20x = 111,472,670,190.96
  5. Step 5: Solve for x
    x = 111,472,670,190.96/311,953.20
  6. Step 6: Final answer
    x = 357,337.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.