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Finding the Fourth Proportional to 289,155.30, 399,034.26 and 161,830.89

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Solution

The fourth proportional to 289,155.30, 399,034.26 and 161,830.89 is: 223,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,155.30 : 399,034.26 = 161,830.89 : x
  2. Step 2: Convert to fraction form
    289,155.30/399,034.26 = 161,830.89/x
  3. Step 3: Cross multiply
    289,155.30x = 399,034.26 × 161,830.89
  4. Step 4: Simplify right side
    289,155.30x = 64,576,069,436.29
  5. Step 5: Solve for x
    x = 64,576,069,436.29/289,155.30
  6. Step 6: Final answer
    x = 223,326.60

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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.