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Finding the Fourth Proportional to 289,367.72, 399,316.25 and 162,036.80

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Solution

The fourth proportional to 289,367.72, 399,316.25 and 162,036.80 is: 223,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,367.72 : 399,316.25 = 162,036.80 : x
  2. Step 2: Convert to fraction form
    289,367.72/399,316.25 = 162,036.80/x
  3. Step 3: Cross multiply
    289,367.72x = 399,316.25 × 162,036.80
  4. Step 4: Simplify right side
    289,367.72x = 64,703,925,746.51
  5. Step 5: Solve for x
    x = 64,703,925,746.51/289,367.72
  6. Step 6: Final answer
    x = 223,604.51

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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.