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Finding the Fourth Proportional to 638,463.02, 957,048.15 and 413,965.58

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Solution

The fourth proportional to 638,463.02, 957,048.15 and 413,965.58 is: 620,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,463.02 : 957,048.15 = 413,965.58 : x
  2. Step 2: Convert to fraction form
    638,463.02/957,048.15 = 413,965.58/x
  3. Step 3: Cross multiply
    638,463.02x = 957,048.15 × 413,965.58
  4. Step 4: Simplify right side
    638,463.02x = 396,184,992,502.68
  5. Step 5: Solve for x
    x = 396,184,992,502.68/638,463.02
  6. Step 6: Final answer
    x = 620,529.27

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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.