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Finding the Fourth Proportional to 403,711.25, 605,685.30 and 119,409.30

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Solution

The fourth proportional to 403,711.25, 605,685.30 and 119,409.30 is: 179,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,711.25 : 605,685.30 = 119,409.30 : x
  2. Step 2: Convert to fraction form
    403,711.25/605,685.30 = 119,409.30/x
  3. Step 3: Cross multiply
    403,711.25x = 605,685.30 × 119,409.30
  4. Step 4: Simplify right side
    403,711.25x = 72,324,457,693.29
  5. Step 5: Solve for x
    x = 72,324,457,693.29/403,711.25
  6. Step 6: Final answer
    x = 179,148.98

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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.