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Finding the Fourth Proportional to 469,516.47, 647,941.56 and 288,137.63

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Solution

The fourth proportional to 469,516.47, 647,941.56 and 288,137.63 is: 397,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,516.47 : 647,941.56 = 288,137.63 : x
  2. Step 2: Convert to fraction form
    469,516.47/647,941.56 = 288,137.63/x
  3. Step 3: Cross multiply
    469,516.47x = 647,941.56 × 288,137.63
  4. Step 4: Simplify right side
    469,516.47x = 186,696,345,476.90
  5. Step 5: Solve for x
    x = 186,696,345,476.90/469,516.47
  6. Step 6: Final answer
    x = 397,635.35

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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.