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Finding the Fourth Proportional to 340,977.84, 470,751.04 and 303,147.42

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Solution

The fourth proportional to 340,977.84, 470,751.04 and 303,147.42 is: 418,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,977.84 : 470,751.04 = 303,147.42 : x
  2. Step 2: Convert to fraction form
    340,977.84/470,751.04 = 303,147.42/x
  3. Step 3: Cross multiply
    340,977.84x = 470,751.04 × 303,147.42
  4. Step 4: Simplify right side
    340,977.84x = 142,706,963,238.32
  5. Step 5: Solve for x
    x = 142,706,963,238.32/340,977.84
  6. Step 6: Final answer
    x = 418,522.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.