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Finding the Fourth Proportional to 400,208.31, 600,312.47 and 189,731.43

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Solution

The fourth proportional to 400,208.31, 600,312.47 and 189,731.43 is: 284,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,208.31 : 600,312.47 = 189,731.43 : x
  2. Step 2: Convert to fraction form
    400,208.31/600,312.47 = 189,731.43/x
  3. Step 3: Cross multiply
    400,208.31x = 600,312.47 × 189,731.43
  4. Step 4: Simplify right side
    400,208.31x = 113,898,142,431.28
  5. Step 5: Solve for x
    x = 113,898,142,431.28/400,208.31
  6. Step 6: Final answer
    x = 284,597.15

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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.