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Finding the Fourth Proportional to 664,551.10, 997,057.05 and 290,842.30

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Solution

The fourth proportional to 664,551.10, 997,057.05 and 290,842.30 is: 436,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,551.10 : 997,057.05 = 290,842.30 : x
  2. Step 2: Convert to fraction form
    664,551.10/997,057.05 = 290,842.30/x
  3. Step 3: Cross multiply
    664,551.10x = 997,057.05 × 290,842.30
  4. Step 4: Simplify right side
    664,551.10x = 289,986,365,653.22
  5. Step 5: Solve for x
    x = 289,986,365,653.22/664,551.10
  6. Step 6: Final answer
    x = 436,364.29

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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.