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Finding the Fourth Proportional to 307,908.40, 430,022 and 307,908.40

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Solution

The fourth proportional to 307,908.40, 430,022 and 307,908.40 is: 430,022

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,908.40 : 430,022 = 307,908.40 : x
  2. Step 2: Convert to fraction form
    307,908.40/430,022 = 307,908.40/x
  3. Step 3: Cross multiply
    307,908.40x = 430,022 × 307,908.40
  4. Step 4: Simplify right side
    307,908.40x = 132,407,385,984.80
  5. Step 5: Solve for x
    x = 132,407,385,984.80/307,908.40
  6. Step 6: Final answer
    x = 430,022

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.