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Finding the Fourth Proportional to 420,817.70, 631,226.55 and 346,022.30

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Solution

The fourth proportional to 420,817.70, 631,226.55 and 346,022.30 is: 519,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,817.70 : 631,226.55 = 346,022.30 : x
  2. Step 2: Convert to fraction form
    420,817.70/631,226.55 = 346,022.30/x
  3. Step 3: Cross multiply
    420,817.70x = 631,226.55 × 346,022.30
  4. Step 4: Simplify right side
    420,817.70x = 218,418,462,652.07
  5. Step 5: Solve for x
    x = 218,418,462,652.07/420,817.70
  6. Step 6: Final answer
    x = 519,033.45

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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.