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Finding the Fourth Proportional to 393,205.20, 589,030.20 and 365,211.60

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Solution

The fourth proportional to 393,205.20, 589,030.20 and 365,211.60 is: 547,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,205.20 : 589,030.20 = 365,211.60 : x
  2. Step 2: Convert to fraction form
    393,205.20/589,030.20 = 365,211.60/x
  3. Step 3: Cross multiply
    393,205.20x = 589,030.20 × 365,211.60
  4. Step 4: Simplify right side
    393,205.20x = 215,120,661,790.32
  5. Step 5: Solve for x
    x = 215,120,661,790.32/393,205.20
  6. Step 6: Final answer
    x = 547,095.16

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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.