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Finding the Fourth Proportional to 314,836.56, 434,474.61 and 178,870.74

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Solution

The fourth proportional to 314,836.56, 434,474.61 and 178,870.74 is: 246,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,836.56 : 434,474.61 = 178,870.74 : x
  2. Step 2: Convert to fraction form
    314,836.56/434,474.61 = 178,870.74/x
  3. Step 3: Cross multiply
    314,836.56x = 434,474.61 × 178,870.74
  4. Step 4: Simplify right side
    314,836.56x = 77,714,795,001.91
  5. Step 5: Solve for x
    x = 77,714,795,001.91/314,836.56
  6. Step 6: Final answer
    x = 246,841.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.