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Finding the Fourth Proportional to 469,394.72, 647,594.64 and 308,336.48

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Solution

The fourth proportional to 469,394.72, 647,594.64 and 308,336.48 is: 425,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,394.72 : 647,594.64 = 308,336.48 : x
  2. Step 2: Convert to fraction form
    469,394.72/647,594.64 = 308,336.48/x
  3. Step 3: Cross multiply
    469,394.72x = 647,594.64 × 308,336.48
  4. Step 4: Simplify right side
    469,394.72x = 199,677,051,764.47
  5. Step 5: Solve for x
    x = 199,677,051,764.47/469,394.72
  6. Step 6: Final answer
    x = 425,392.62

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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.