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Finding the Fourth Proportional to 286,327.62, 429,458.58 and 75,981.96

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Solution

The fourth proportional to 286,327.62, 429,458.58 and 75,981.96 is: 113,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,327.62 : 429,458.58 = 75,981.96 : x
  2. Step 2: Convert to fraction form
    286,327.62/429,458.58 = 75,981.96/x
  3. Step 3: Cross multiply
    286,327.62x = 429,458.58 × 75,981.96
  4. Step 4: Simplify right side
    286,327.62x = 32,631,104,647.22
  5. Step 5: Solve for x
    x = 32,631,104,647.22/286,327.62
  6. Step 6: Final answer
    x = 113,964.22

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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.