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Finding the Fourth Proportional to 274,497.12, 411,551.28 and 105,875.64

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Solution

The fourth proportional to 274,497.12, 411,551.28 and 105,875.64 is: 158,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,497.12 : 411,551.28 = 105,875.64 : x
  2. Step 2: Convert to fraction form
    274,497.12/411,551.28 = 105,875.64/x
  3. Step 3: Cross multiply
    274,497.12x = 411,551.28 × 105,875.64
  4. Step 4: Simplify right side
    274,497.12x = 43,573,255,162.82
  5. Step 5: Solve for x
    x = 43,573,255,162.82/274,497.12
  6. Step 6: Final answer
    x = 158,738.48

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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.