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Finding the Fourth Proportional to 286,954, 430,500.16 and 89,962

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Solution

The fourth proportional to 286,954, 430,500.16 and 89,962 is: 134,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,954 : 430,500.16 = 89,962 : x
  2. Step 2: Convert to fraction form
    286,954/430,500.16 = 89,962/x
  3. Step 3: Cross multiply
    286,954x = 430,500.16 × 89,962
  4. Step 4: Simplify right side
    286,954x = 38,728,655,393.92
  5. Step 5: Solve for x
    x = 38,728,655,393.92/286,954
  6. Step 6: Final answer
    x = 134,964.68

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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.