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Finding the Fourth Proportional to 286,580.72, 429,463.73 and 211,107.35

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Solution

The fourth proportional to 286,580.72, 429,463.73 and 211,107.35 is: 316,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,580.72 : 429,463.73 = 211,107.35 : x
  2. Step 2: Convert to fraction form
    286,580.72/429,463.73 = 211,107.35/x
  3. Step 3: Cross multiply
    286,580.72x = 429,463.73 × 211,107.35
  4. Step 4: Simplify right side
    286,580.72x = 90,662,951,562.84
  5. Step 5: Solve for x
    x = 90,662,951,562.84/286,580.72
  6. Step 6: Final answer
    x = 316,360.96

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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.