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Finding the Fourth Proportional to 385,704.06, 578,708.38 and 119,485.34

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Solution

The fourth proportional to 385,704.06, 578,708.38 and 119,485.34 is: 179,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,704.06 : 578,708.38 = 119,485.34 : x
  2. Step 2: Convert to fraction form
    385,704.06/578,708.38 = 119,485.34/x
  3. Step 3: Cross multiply
    385,704.06x = 578,708.38 × 119,485.34
  4. Step 4: Simplify right side
    385,704.06x = 69,147,167,545.15
  5. Step 5: Solve for x
    x = 69,147,167,545.15/385,704.06
  6. Step 6: Final answer
    x = 179,275.19

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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.