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Finding the Fourth Proportional to 438,991.64, 658,862.43 and 312,940.25

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Solution

The fourth proportional to 438,991.64, 658,862.43 and 312,940.25 is: 469,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,991.64 : 658,862.43 = 312,940.25 : x
  2. Step 2: Convert to fraction form
    438,991.64/658,862.43 = 312,940.25/x
  3. Step 3: Cross multiply
    438,991.64x = 658,862.43 × 312,940.25
  4. Step 4: Simplify right side
    438,991.64x = 206,184,570,265.50
  5. Step 5: Solve for x
    x = 206,184,570,265.50/438,991.64
  6. Step 6: Final answer
    x = 469,677.67

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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.