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Finding the Fourth Proportional to 289,480.91, 434,222.37 and 204,985.51

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Solution

The fourth proportional to 289,480.91, 434,222.37 and 204,985.51 is: 307,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,480.91 : 434,222.37 = 204,985.51 : x
  2. Step 2: Convert to fraction form
    289,480.91/434,222.37 = 204,985.51/x
  3. Step 3: Cross multiply
    289,480.91x = 434,222.37 × 204,985.51
  4. Step 4: Simplify right side
    289,480.91x = 89,009,292,882.30
  5. Step 5: Solve for x
    x = 89,009,292,882.30/289,480.91
  6. Step 6: Final answer
    x = 307,478.98

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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.