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Finding the Fourth Proportional to 307,983.43, 461,991.71 and 97,637.77

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Solution

The fourth proportional to 307,983.43, 461,991.71 and 97,637.77 is: 146,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,983.43 : 461,991.71 = 97,637.77 : x
  2. Step 2: Convert to fraction form
    307,983.43/461,991.71 = 97,637.77/x
  3. Step 3: Cross multiply
    307,983.43x = 461,991.71 × 97,637.77
  4. Step 4: Simplify right side
    307,983.43x = 45,107,839,834.70
  5. Step 5: Solve for x
    x = 45,107,839,834.70/307,983.43
  6. Step 6: Final answer
    x = 146,461.90

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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.