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Finding the Fourth Proportional to 469,558.80, 647,991.36 and 254,698.08

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Solution

The fourth proportional to 469,558.80, 647,991.36 and 254,698.08 is: 351,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,558.80 : 647,991.36 = 254,698.08 : x
  2. Step 2: Convert to fraction form
    469,558.80/647,991.36 = 254,698.08/x
  3. Step 3: Cross multiply
    469,558.80x = 647,991.36 × 254,698.08
  4. Step 4: Simplify right side
    469,558.80x = 165,042,155,248.59
  5. Step 5: Solve for x
    x = 165,042,155,248.59/469,558.80
  6. Step 6: Final answer
    x = 351,483.47

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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.