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Finding the Fourth Proportional to 289,366.90, 434,101.38 and 99,812.32

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Solution

The fourth proportional to 289,366.90, 434,101.38 and 99,812.32 is: 149,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,366.90 : 434,101.38 = 99,812.32 : x
  2. Step 2: Convert to fraction form
    289,366.90/434,101.38 = 99,812.32/x
  3. Step 3: Cross multiply
    289,366.90x = 434,101.38 × 99,812.32
  4. Step 4: Simplify right side
    289,366.90x = 43,328,665,853.00
  5. Step 5: Solve for x
    x = 43,328,665,853.00/289,366.90
  6. Step 6: Final answer
    x = 149,736.08

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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.