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Finding the Fourth Proportional to 427,783.52, 641,432.29 and 174,767.78

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Solution

The fourth proportional to 427,783.52, 641,432.29 and 174,767.78 is: 262,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,783.52 : 641,432.29 = 174,767.78 : x
  2. Step 2: Convert to fraction form
    427,783.52/641,432.29 = 174,767.78/x
  3. Step 3: Cross multiply
    427,783.52x = 641,432.29 × 174,767.78
  4. Step 4: Simplify right side
    427,783.52x = 112,101,697,343.62
  5. Step 5: Solve for x
    x = 112,101,697,343.62/427,783.52
  6. Step 6: Final answer
    x = 262,052.40

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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.