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Finding the Fourth Proportional to 307,535.20, 461,302.80 and 141,323.20

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Solution

The fourth proportional to 307,535.20, 461,302.80 and 141,323.20 is: 211,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,535.20 : 461,302.80 = 141,323.20 : x
  2. Step 2: Convert to fraction form
    307,535.20/461,302.80 = 141,323.20/x
  3. Step 3: Cross multiply
    307,535.20x = 461,302.80 × 141,323.20
  4. Step 4: Simplify right side
    307,535.20x = 65,192,787,864.96
  5. Step 5: Solve for x
    x = 65,192,787,864.96/307,535.20
  6. Step 6: Final answer
    x = 211,984.80

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1.5x scale

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.