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Finding the Fourth Proportional to 312,693.66, 469,034.01 and 76,037.58

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Solution

The fourth proportional to 312,693.66, 469,034.01 and 76,037.58 is: 114,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,693.66 : 469,034.01 = 76,037.58 : x
  2. Step 2: Convert to fraction form
    312,693.66/469,034.01 = 76,037.58/x
  3. Step 3: Cross multiply
    312,693.66x = 469,034.01 × 76,037.58
  4. Step 4: Simplify right side
    312,693.66x = 35,664,211,058.10
  5. Step 5: Solve for x
    x = 35,664,211,058.10/312,693.66
  6. Step 6: Final answer
    x = 114,054.79

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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.