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Finding the Fourth Proportional to 312,900.66, 431,811.59 and 176,955.03

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Solution

The fourth proportional to 312,900.66, 431,811.59 and 176,955.03 is: 244,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,900.66 : 431,811.59 = 176,955.03 : x
  2. Step 2: Convert to fraction form
    312,900.66/431,811.59 = 176,955.03/x
  3. Step 3: Cross multiply
    312,900.66x = 431,811.59 × 176,955.03
  4. Step 4: Simplify right side
    312,900.66x = 76,411,231,978.02
  5. Step 5: Solve for x
    x = 76,411,231,978.02/312,900.66
  6. Step 6: Final answer
    x = 244,202.85

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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.