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Finding the Fourth Proportional to 281,962.64, 389,108.64 and 154,638.74

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Solution

The fourth proportional to 281,962.64, 389,108.64 and 154,638.74 is: 213,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,962.64 : 389,108.64 = 154,638.74 : x
  2. Step 2: Convert to fraction form
    281,962.64/389,108.64 = 154,638.74/x
  3. Step 3: Cross multiply
    281,962.64x = 389,108.64 × 154,638.74
  4. Step 4: Simplify right side
    281,962.64x = 60,171,269,812.71
  5. Step 5: Solve for x
    x = 60,171,269,812.71/281,962.64
  6. Step 6: Final answer
    x = 213,401.57

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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.