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Finding the Fourth Proportional to 668,857.80, 1,003,614.74 and 313,900.68

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Solution

The fourth proportional to 668,857.80, 1,003,614.74 and 313,900.68 is: 471,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,857.80 : 1,003,614.74 = 313,900.68 : x
  2. Step 2: Convert to fraction form
    668,857.80/1,003,614.74 = 313,900.68/x
  3. Step 3: Cross multiply
    668,857.80x = 1,003,614.74 × 313,900.68
  4. Step 4: Simplify right side
    668,857.80x = 315,035,349,344.02
  5. Step 5: Solve for x
    x = 315,035,349,344.02/668,857.80
  6. Step 6: Final answer
    x = 471,004.97

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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.