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Finding the Fourth Proportional to 427,750.32, 641,495.88 and 178,374

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Solution

The fourth proportional to 427,750.32, 641,495.88 and 178,374 is: 267,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,750.32 : 641,495.88 = 178,374 : x
  2. Step 2: Convert to fraction form
    427,750.32/641,495.88 = 178,374/x
  3. Step 3: Cross multiply
    427,750.32x = 641,495.88 × 178,374
  4. Step 4: Simplify right side
    427,750.32x = 114,426,186,099.12
  5. Step 5: Solve for x
    x = 114,426,186,099.12/427,750.32
  6. Step 6: Final answer
    x = 267,506.96

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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.