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Finding the Fourth Proportional to 427,234.32, 640,348.32 and 174,357

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Solution

The fourth proportional to 427,234.32, 640,348.32 and 174,357 is: 261,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,234.32 : 640,348.32 = 174,357 : x
  2. Step 2: Convert to fraction form
    427,234.32/640,348.32 = 174,357/x
  3. Step 3: Cross multiply
    427,234.32x = 640,348.32 × 174,357
  4. Step 4: Simplify right side
    427,234.32x = 111,649,212,030.24
  5. Step 5: Solve for x
    x = 111,649,212,030.24/427,234.32
  6. Step 6: Final answer
    x = 261,330.16

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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.