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Finding the Fourth Proportional to 764,057.96, 1,146,125.01 and 290,780

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Solution

The fourth proportional to 764,057.96, 1,146,125.01 and 290,780 is: 436,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,057.96 : 1,146,125.01 = 290,780 : x
  2. Step 2: Convert to fraction form
    764,057.96/1,146,125.01 = 290,780/x
  3. Step 3: Cross multiply
    764,057.96x = 1,146,125.01 × 290,780
  4. Step 4: Simplify right side
    764,057.96x = 333,270,230,407.80
  5. Step 5: Solve for x
    x = 333,270,230,407.80/764,057.96
  6. Step 6: Final answer
    x = 436,184.49

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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.