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Finding the Fourth Proportional to 1,764,506, 2,646,759 and 434,810

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Solution

The fourth proportional to 1,764,506, 2,646,759 and 434,810 is: 652,215

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,506 : 2,646,759 = 434,810 : x
  2. Step 2: Convert to fraction form
    1,764,506/2,646,759 = 434,810/x
  3. Step 3: Cross multiply
    1,764,506x = 2,646,759 × 434,810
  4. Step 4: Simplify right side
    1,764,506x = 1,150,837,280,790
  5. Step 5: Solve for x
    x = 1,150,837,280,790/1,764,506
  6. Step 6: Final answer
    x = 652,215

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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.