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Finding the Fourth Proportional to 564,814.27, 779,769.65 and 428,609.96

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Solution

The fourth proportional to 564,814.27, 779,769.65 and 428,609.96 is: 591,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,814.27 : 779,769.65 = 428,609.96 : x
  2. Step 2: Convert to fraction form
    564,814.27/779,769.65 = 428,609.96/x
  3. Step 3: Cross multiply
    564,814.27x = 779,769.65 × 428,609.96
  4. Step 4: Simplify right side
    564,814.27x = 334,217,032,453.82
  5. Step 5: Solve for x
    x = 334,217,032,453.82/564,814.27
  6. Step 6: Final answer
    x = 591,729.09

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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.