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Finding the Fourth Proportional to 314,811.72, 434,455.56 and 177,034.02

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Solution

The fourth proportional to 314,811.72, 434,455.56 and 177,034.02 is: 244,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,811.72 : 434,455.56 = 177,034.02 : x
  2. Step 2: Convert to fraction form
    314,811.72/434,455.56 = 177,034.02/x
  3. Step 3: Cross multiply
    314,811.72x = 434,455.56 × 177,034.02
  4. Step 4: Simplify right side
    314,811.72x = 76,913,414,298.15
  5. Step 5: Solve for x
    x = 76,913,414,298.15/314,811.72
  6. Step 6: Final answer
    x = 244,315.60

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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.