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Finding the Fourth Proportional to 256,911.10, 384,598.87 and 155,401.96

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Solution

The fourth proportional to 256,911.10, 384,598.87 and 155,401.96 is: 232,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,911.10 : 384,598.87 = 155,401.96 : x
  2. Step 2: Convert to fraction form
    256,911.10/384,598.87 = 155,401.96/x
  3. Step 3: Cross multiply
    256,911.10x = 384,598.87 × 155,401.96
  4. Step 4: Simplify right side
    256,911.10x = 59,767,415,960.38
  5. Step 5: Solve for x
    x = 59,767,415,960.38/256,911.10
  6. Step 6: Final answer
    x = 232,638.51

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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.