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Finding the Fourth Proportional to 428,993.08, 643,490.40 and 176,097.31

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Solution

The fourth proportional to 428,993.08, 643,490.40 and 176,097.31 is: 264,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,993.08 : 643,490.40 = 176,097.31 : x
  2. Step 2: Convert to fraction form
    428,993.08/643,490.40 = 176,097.31/x
  3. Step 3: Cross multiply
    428,993.08x = 643,490.40 × 176,097.31
  4. Step 4: Simplify right side
    428,993.08x = 113,316,928,450.82
  5. Step 5: Solve for x
    x = 113,316,928,450.82/428,993.08
  6. Step 6: Final answer
    x = 264,146.29

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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.