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Finding the Fourth Proportional to 233,022.54, 320,905.62 and 209,855.10

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Solution

The fourth proportional to 233,022.54, 320,905.62 and 209,855.10 is: 289,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,022.54 : 320,905.62 = 209,855.10 : x
  2. Step 2: Convert to fraction form
    233,022.54/320,905.62 = 209,855.10/x
  3. Step 3: Cross multiply
    233,022.54x = 320,905.62 × 209,855.10
  4. Step 4: Simplify right side
    233,022.54x = 67,343,680,975.66
  5. Step 5: Solve for x
    x = 67,343,680,975.66/233,022.54
  6. Step 6: Final answer
    x = 289,000.72

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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.