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Finding the Fourth Proportional to 256,184.97, 384,291.47 and 106,440.40

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Solution

The fourth proportional to 256,184.97, 384,291.47 and 106,440.40 is: 159,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,184.97 : 384,291.47 = 106,440.40 : x
  2. Step 2: Convert to fraction form
    256,184.97/384,291.47 = 106,440.40/x
  3. Step 3: Cross multiply
    256,184.97x = 384,291.47 × 106,440.40
  4. Step 4: Simplify right side
    256,184.97x = 40,904,136,290.46
  5. Step 5: Solve for x
    x = 40,904,136,290.46/256,184.97
  6. Step 6: Final answer
    x = 159,666.42

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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.