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Finding the Fourth Proportional to 870,601.52, 1,305,639.84 and 309,602

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Solution

The fourth proportional to 870,601.52, 1,305,639.84 and 309,602 is: 464,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,601.52 : 1,305,639.84 = 309,602 : x
  2. Step 2: Convert to fraction form
    870,601.52/1,305,639.84 = 309,602/x
  3. Step 3: Cross multiply
    870,601.52x = 1,305,639.84 × 309,602
  4. Step 4: Simplify right side
    870,601.52x = 404,228,705,743.68
  5. Step 5: Solve for x
    x = 404,228,705,743.68/870,601.52
  6. Step 6: Final answer
    x = 464,309.67

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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.