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Finding the Fourth Proportional to 427,235.32, 640,349.82 and 174,358

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Solution

The fourth proportional to 427,235.32, 640,349.82 and 174,358 is: 261,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,235.32 : 640,349.82 = 174,358 : x
  2. Step 2: Convert to fraction form
    427,235.32/640,349.82 = 174,358/x
  3. Step 3: Cross multiply
    427,235.32x = 640,349.82 × 174,358
  4. Step 4: Simplify right side
    427,235.32x = 111,650,113,915.56
  5. Step 5: Solve for x
    x = 111,650,113,915.56/427,235.32
  6. Step 6: Final answer
    x = 261,331.66

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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.