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Finding the Fourth Proportional to 471,836, 651,123.96 and 256,979.84

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Solution

The fourth proportional to 471,836, 651,123.96 and 256,979.84 is: 354,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,836 : 651,123.96 = 256,979.84 : x
  2. Step 2: Convert to fraction form
    471,836/651,123.96 = 256,979.84/x
  3. Step 3: Cross multiply
    471,836x = 651,123.96 × 256,979.84
  4. Step 4: Simplify right side
    471,836x = 167,325,731,060.97
  5. Step 5: Solve for x
    x = 167,325,731,060.97/471,836
  6. Step 6: Final answer
    x = 354,626.89

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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.