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Finding the Fourth Proportional to 664,123.50, 916,489.53 and 362,317.50

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Solution

The fourth proportional to 664,123.50, 916,489.53 and 362,317.50 is: 499,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,123.50 : 916,489.53 = 362,317.50 : x
  2. Step 2: Convert to fraction form
    664,123.50/916,489.53 = 362,317.50/x
  3. Step 3: Cross multiply
    664,123.50x = 916,489.53 × 362,317.50
  4. Step 4: Simplify right side
    664,123.50x = 332,060,195,285.78
  5. Step 5: Solve for x
    x = 332,060,195,285.78/664,123.50
  6. Step 6: Final answer
    x = 499,997.66

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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.