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Finding the Fourth Proportional to 429,351.95, 643,955.01 and 113,840.75

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Solution

The fourth proportional to 429,351.95, 643,955.01 and 113,840.75 is: 170,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,351.95 : 643,955.01 = 113,840.75 : x
  2. Step 2: Convert to fraction form
    429,351.95/643,955.01 = 113,840.75/x
  3. Step 3: Cross multiply
    429,351.95x = 643,955.01 × 113,840.75
  4. Step 4: Simplify right side
    429,351.95x = 73,308,318,084.88
  5. Step 5: Solve for x
    x = 73,308,318,084.88/429,351.95
  6. Step 6: Final answer
    x = 170,741.79

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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.