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Finding the Fourth Proportional to 469,573.29, 647,292.11 and 287,948.41

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Solution

The fourth proportional to 469,573.29, 647,292.11 and 287,948.41 is: 396,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,573.29 : 647,292.11 = 287,948.41 : x
  2. Step 2: Convert to fraction form
    469,573.29/647,292.11 = 287,948.41/x
  3. Step 3: Cross multiply
    469,573.29x = 647,292.11 × 287,948.41
  4. Step 4: Simplify right side
    469,573.29x = 186,386,733,880.05
  5. Step 5: Solve for x
    x = 186,386,733,880.05/469,573.29
  6. Step 6: Final answer
    x = 396,927.89

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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.