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Finding the Fourth Proportional to 417,855, 627,031.56 and 151,636.29

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Solution

The fourth proportional to 417,855, 627,031.56 and 151,636.29 is: 227,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,855 : 627,031.56 = 151,636.29 : x
  2. Step 2: Convert to fraction form
    417,855/627,031.56 = 151,636.29/x
  3. Step 3: Cross multiply
    417,855x = 627,031.56 × 151,636.29
  4. Step 4: Simplify right side
    417,855x = 95,080,739,471.31
  5. Step 5: Solve for x
    x = 95,080,739,471.31/417,855
  6. Step 6: Final answer
    x = 227,544.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.