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Finding the Fourth Proportional to 307,881.40, 461,822.10 and 293,447.20

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Solution

The fourth proportional to 307,881.40, 461,822.10 and 293,447.20 is: 440,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,881.40 : 461,822.10 = 293,447.20 : x
  2. Step 2: Convert to fraction form
    307,881.40/461,822.10 = 293,447.20/x
  3. Step 3: Cross multiply
    307,881.40x = 461,822.10 × 293,447.20
  4. Step 4: Simplify right side
    307,881.40x = 135,520,402,143.12
  5. Step 5: Solve for x
    x = 135,520,402,143.12/307,881.40
  6. Step 6: Final answer
    x = 440,170.80

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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.