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Finding the Fourth Proportional to 289,170.48, 399,055.22 and 161,846.07

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Solution

The fourth proportional to 289,170.48, 399,055.22 and 161,846.07 is: 223,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,170.48 : 399,055.22 = 161,846.07 : x
  2. Step 2: Convert to fraction form
    289,170.48/399,055.22 = 161,846.07/x
  3. Step 3: Cross multiply
    289,170.48x = 399,055.22 × 161,846.07
  4. Step 4: Simplify right side
    289,170.48x = 64,585,518,260.76
  5. Step 5: Solve for x
    x = 64,585,518,260.76/289,170.48
  6. Step 6: Final answer
    x = 223,347.55

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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.