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Finding the Fourth Proportional to 415,688.62, 622,898.69 and 216,073.84

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Solution

The fourth proportional to 415,688.62, 622,898.69 and 216,073.84 is: 323,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,688.62 : 622,898.69 = 216,073.84 : x
  2. Step 2: Convert to fraction form
    415,688.62/622,898.69 = 216,073.84/x
  3. Step 3: Cross multiply
    415,688.62x = 622,898.69 × 216,073.84
  4. Step 4: Simplify right side
    415,688.62x = 134,592,111,879.27
  5. Step 5: Solve for x
    x = 134,592,111,879.27/415,688.62
  6. Step 6: Final answer
    x = 323,781.08

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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.