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Finding the Fourth Proportional to 469,065.47, 647,310.87 and 254,205.54

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Solution

The fourth proportional to 469,065.47, 647,310.87 and 254,205.54 is: 350,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,065.47 : 647,310.87 = 254,205.54 : x
  2. Step 2: Convert to fraction form
    469,065.47/647,310.87 = 254,205.54/x
  3. Step 3: Cross multiply
    469,065.47x = 647,310.87 × 254,205.54
  4. Step 4: Simplify right side
    469,065.47x = 164,550,009,256.22
  5. Step 5: Solve for x
    x = 164,550,009,256.22/469,065.47
  6. Step 6: Final answer
    x = 350,803.93

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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.