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Finding the Fourth Proportional to 405,123.71, 607,672.49 and 120,816.59

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Solution

The fourth proportional to 405,123.71, 607,672.49 and 120,816.59 is: 181,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,123.71 : 607,672.49 = 120,816.59 : x
  2. Step 2: Convert to fraction form
    405,123.71/607,672.49 = 120,816.59/x
  3. Step 3: Cross multiply
    405,123.71x = 607,672.49 × 120,816.59
  4. Step 4: Simplify right side
    405,123.71x = 73,416,914,436.16
  5. Step 5: Solve for x
    x = 73,416,914,436.16/405,123.71
  6. Step 6: Final answer
    x = 181,220.98

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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.