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Finding the Fourth Proportional to 407,857.43, 611,848.31 and 208,068.84

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Solution

The fourth proportional to 407,857.43, 611,848.31 and 208,068.84 is: 312,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,857.43 : 611,848.31 = 208,068.84 : x
  2. Step 2: Convert to fraction form
    407,857.43/611,848.31 = 208,068.84/x
  3. Step 3: Cross multiply
    407,857.43x = 611,848.31 × 208,068.84
  4. Step 4: Simplify right side
    407,857.43x = 127,306,567,077.32
  5. Step 5: Solve for x
    x = 127,306,567,077.32/407,857.43
  6. Step 6: Final answer
    x = 312,134.97

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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.