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Finding the Fourth Proportional to 652,025.96, 978,271.65 and 396,378.65

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Solution

The fourth proportional to 652,025.96, 978,271.65 and 396,378.65 is: 594,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,025.96 : 978,271.65 = 396,378.65 : x
  2. Step 2: Convert to fraction form
    652,025.96/978,271.65 = 396,378.65/x
  3. Step 3: Cross multiply
    652,025.96x = 978,271.65 × 396,378.65
  4. Step 4: Simplify right side
    652,025.96x = 387,765,991,068.91
  5. Step 5: Solve for x
    x = 387,765,991,068.91/652,025.96
  6. Step 6: Final answer
    x = 594,709.44

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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.