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Finding the Fourth Proportional to 711,221.64, 981,502.94 and 405,291.48

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Solution

The fourth proportional to 711,221.64, 981,502.94 and 405,291.48 is: 559,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,221.64 : 981,502.94 = 405,291.48 : x
  2. Step 2: Convert to fraction form
    711,221.64/981,502.94 = 405,291.48/x
  3. Step 3: Cross multiply
    711,221.64x = 981,502.94 × 405,291.48
  4. Step 4: Simplify right side
    711,221.64x = 397,794,779,176.95
  5. Step 5: Solve for x
    x = 397,794,779,176.95/711,221.64
  6. Step 6: Final answer
    x = 559,311.97

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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.