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Finding the Fourth Proportional to 256,565.76, 384,911.22 and 180,812.04

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Solution

The fourth proportional to 256,565.76, 384,911.22 and 180,812.04 is: 271,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,565.76 : 384,911.22 = 180,812.04 : x
  2. Step 2: Convert to fraction form
    256,565.76/384,911.22 = 180,812.04/x
  3. Step 3: Cross multiply
    256,565.76x = 384,911.22 × 180,812.04
  4. Step 4: Simplify right side
    256,565.76x = 69,596,582,907.09
  5. Step 5: Solve for x
    x = 69,596,582,907.09/256,565.76
  6. Step 6: Final answer
    x = 271,262.16

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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.