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Finding the Fourth Proportional to 257,079.74, 385,698.36 and 115,044.54

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Solution

The fourth proportional to 257,079.74, 385,698.36 and 115,044.54 is: 172,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,079.74 : 385,698.36 = 115,044.54 : x
  2. Step 2: Convert to fraction form
    257,079.74/385,698.36 = 115,044.54/x
  3. Step 3: Cross multiply
    257,079.74x = 385,698.36 × 115,044.54
  4. Step 4: Simplify right side
    257,079.74x = 44,372,490,404.95
  5. Step 5: Solve for x
    x = 44,372,490,404.95/257,079.74
  6. Step 6: Final answer
    x = 172,602.05

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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.