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Finding the Fourth Proportional to 488,364.90, 731,964.15 and 204,054.90

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Solution

The fourth proportional to 488,364.90, 731,964.15 and 204,054.90 is: 305,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,364.90 : 731,964.15 = 204,054.90 : x
  2. Step 2: Convert to fraction form
    488,364.90/731,964.15 = 204,054.90/x
  3. Step 3: Cross multiply
    488,364.90x = 731,964.15 × 204,054.90
  4. Step 4: Simplify right side
    488,364.90x = 149,360,871,431.84
  5. Step 5: Solve for x
    x = 149,360,871,431.84/488,364.90
  6. Step 6: Final answer
    x = 305,838.67

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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.