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Finding the Fourth Proportional to 469,069.77, 647,348.67 and 285,380.01

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Solution

The fourth proportional to 469,069.77, 647,348.67 and 285,380.01 is: 393,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,069.77 : 647,348.67 = 285,380.01 : x
  2. Step 2: Convert to fraction form
    469,069.77/647,348.67 = 285,380.01/x
  3. Step 3: Cross multiply
    469,069.77x = 647,348.67 × 285,380.01
  4. Step 4: Simplify right side
    469,069.77x = 184,740,369,918.09
  5. Step 5: Solve for x
    x = 184,740,369,918.09/469,069.77
  6. Step 6: Final answer
    x = 393,844.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.