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Finding the Fourth Proportional to 290,107.89, 434,578.86 and 147,947.40

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Solution

The fourth proportional to 290,107.89, 434,578.86 and 147,947.40 is: 221,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,107.89 : 434,578.86 = 147,947.40 : x
  2. Step 2: Convert to fraction form
    290,107.89/434,578.86 = 147,947.40/x
  3. Step 3: Cross multiply
    290,107.89x = 434,578.86 × 147,947.40
  4. Step 4: Simplify right side
    290,107.89x = 64,294,812,431.96
  5. Step 5: Solve for x
    x = 64,294,812,431.96/290,107.89
  6. Step 6: Final answer
    x = 221,623.80

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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.