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Finding the Fourth Proportional to 280,893.47, 387,372.42 and 178,812.50

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Solution

The fourth proportional to 280,893.47, 387,372.42 and 178,812.50 is: 246,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,893.47 : 387,372.42 = 178,812.50 : x
  2. Step 2: Convert to fraction form
    280,893.47/387,372.42 = 178,812.50/x
  3. Step 3: Cross multiply
    280,893.47x = 387,372.42 × 178,812.50
  4. Step 4: Simplify right side
    280,893.47x = 69,267,031,819.68
  5. Step 5: Solve for x
    x = 69,267,031,819.68/280,893.47
  6. Step 6: Final answer
    x = 246,595.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.