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Finding the Fourth Proportional to 469,070.66, 647,315.88 and 254,216

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Solution

The fourth proportional to 469,070.66, 647,315.88 and 254,216 is: 350,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,070.66 : 647,315.88 = 254,216 : x
  2. Step 2: Convert to fraction form
    469,070.66/647,315.88 = 254,216/x
  3. Step 3: Cross multiply
    469,070.66x = 647,315.88 × 254,216
  4. Step 4: Simplify right side
    469,070.66x = 164,558,053,750.08
  5. Step 5: Solve for x
    x = 164,558,053,750.08/469,070.66
  6. Step 6: Final answer
    x = 350,817.20

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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.