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Finding the Fourth Proportional to 469,395.62, 647,596.16 and 308,338.34

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Solution

The fourth proportional to 469,395.62, 647,596.16 and 308,338.34 is: 425,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,395.62 : 647,596.16 = 308,338.34 : x
  2. Step 2: Convert to fraction form
    469,395.62/647,596.16 = 308,338.34/x
  3. Step 3: Cross multiply
    469,395.62x = 647,596.16 × 308,338.34
  4. Step 4: Simplify right side
    469,395.62x = 199,678,724,964.77
  5. Step 5: Solve for x
    x = 199,678,724,964.77/469,395.62
  6. Step 6: Final answer
    x = 425,395.37

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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.