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Finding the Fourth Proportional to 289,596.88, 399,643.32 and 162,273.34

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Solution

The fourth proportional to 289,596.88, 399,643.32 and 162,273.34 is: 223,937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,596.88 : 399,643.32 = 162,273.34 : x
  2. Step 2: Convert to fraction form
    289,596.88/399,643.32 = 162,273.34/x
  3. Step 3: Cross multiply
    289,596.88x = 399,643.32 × 162,273.34
  4. Step 4: Simplify right side
    289,596.88x = 64,851,456,345.09
  5. Step 5: Solve for x
    x = 64,851,456,345.09/289,596.88
  6. Step 6: Final answer
    x = 223,937.00

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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.