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Finding the Fourth Proportional to 471,834, 651,121.20 and 256,977.84

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Solution

The fourth proportional to 471,834, 651,121.20 and 256,977.84 is: 354,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,834 : 651,121.20 = 256,977.84 : x
  2. Step 2: Convert to fraction form
    471,834/651,121.20 = 256,977.84/x
  3. Step 3: Cross multiply
    471,834x = 651,121.20 × 256,977.84
  4. Step 4: Simplify right side
    471,834x = 167,323,719,554.21
  5. Step 5: Solve for x
    x = 167,323,719,554.21/471,834
  6. Step 6: Final answer
    x = 354,624.13

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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.