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Finding the Fourth Proportional to 310,813.10, 428,921.46 and 174,847.16

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Solution

The fourth proportional to 310,813.10, 428,921.46 and 174,847.16 is: 241,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,813.10 : 428,921.46 = 174,847.16 : x
  2. Step 2: Convert to fraction form
    310,813.10/428,921.46 = 174,847.16/x
  3. Step 3: Cross multiply
    310,813.10x = 428,921.46 × 174,847.16
  4. Step 4: Simplify right side
    310,813.10x = 74,995,696,999.45
  5. Step 5: Solve for x
    x = 74,995,696,999.45/310,813.10
  6. Step 6: Final answer
    x = 241,288.73

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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.