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Finding the Fourth Proportional to 289,930.29, 435,006.15 and 163,713.05

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Solution

The fourth proportional to 289,930.29, 435,006.15 and 163,713.05 is: 245,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,930.29 : 435,006.15 = 163,713.05 : x
  2. Step 2: Convert to fraction form
    289,930.29/435,006.15 = 163,713.05/x
  3. Step 3: Cross multiply
    289,930.29x = 435,006.15 × 163,713.05
  4. Step 4: Simplify right side
    289,930.29x = 71,216,182,427.58
  5. Step 5: Solve for x
    x = 71,216,182,427.58/289,930.29
  6. Step 6: Final answer
    x = 245,632.09

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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.