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Finding the Fourth Proportional to 286,334.34, 429,311.94 and 136,597.74

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Solution

The fourth proportional to 286,334.34, 429,311.94 and 136,597.74 is: 204,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,334.34 : 429,311.94 = 136,597.74 : x
  2. Step 2: Convert to fraction form
    286,334.34/429,311.94 = 136,597.74/x
  3. Step 3: Cross multiply
    286,334.34x = 429,311.94 × 136,597.74
  4. Step 4: Simplify right side
    286,334.34x = 58,643,040,759.02
  5. Step 5: Solve for x
    x = 58,643,040,759.02/286,334.34
  6. Step 6: Final answer
    x = 204,806.17

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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.