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Finding the Fourth Proportional to 257,080.74, 385,699.86 and 115,045.54

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Solution

The fourth proportional to 257,080.74, 385,699.86 and 115,045.54 is: 172,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,080.74 : 385,699.86 = 115,045.54 : x
  2. Step 2: Convert to fraction form
    257,080.74/385,699.86 = 115,045.54/x
  3. Step 3: Cross multiply
    257,080.74x = 385,699.86 × 115,045.54
  4. Step 4: Simplify right side
    257,080.74x = 44,373,048,671.62
  5. Step 5: Solve for x
    x = 44,373,048,671.62/257,080.74
  6. Step 6: Final answer
    x = 172,603.55

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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.