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Finding the Fourth Proportional to 289,364.40, 434,097.63 and 99,809.82

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Solution

The fourth proportional to 289,364.40, 434,097.63 and 99,809.82 is: 149,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,364.40 : 434,097.63 = 99,809.82 : x
  2. Step 2: Convert to fraction form
    289,364.40/434,097.63 = 99,809.82/x
  3. Step 3: Cross multiply
    289,364.40x = 434,097.63 × 99,809.82
  4. Step 4: Simplify right side
    289,364.40x = 43,327,206,312.73
  5. Step 5: Solve for x
    x = 43,327,206,312.73/289,364.40
  6. Step 6: Final answer
    x = 149,732.33

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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.