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Finding the Fourth Proportional to 340,945.36, 470,706.42 and 303,115.12

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Solution

The fourth proportional to 340,945.36, 470,706.42 and 303,115.12 is: 418,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,945.36 : 470,706.42 = 303,115.12 : x
  2. Step 2: Convert to fraction form
    340,945.36/470,706.42 = 303,115.12/x
  3. Step 3: Cross multiply
    340,945.36x = 470,706.42 × 303,115.12
  4. Step 4: Simplify right side
    340,945.36x = 142,678,232,983.07
  5. Step 5: Solve for x
    x = 142,678,232,983.07/340,945.36
  6. Step 6: Final answer
    x = 418,478.30

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1.5x scale

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.