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Finding the Fourth Proportional to 631,498, 947,714.52 and 299,074.96

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Solution

The fourth proportional to 631,498, 947,714.52 and 299,074.96 is: 448,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,498 : 947,714.52 = 299,074.96 : x
  2. Step 2: Convert to fraction form
    631,498/947,714.52 = 299,074.96/x
  3. Step 3: Cross multiply
    631,498x = 947,714.52 × 299,074.96
  4. Step 4: Simplify right side
    631,498x = 283,437,682,160.42
  5. Step 5: Solve for x
    x = 283,437,682,160.42/631,498
  6. Step 6: Final answer
    x = 448,833.86

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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.