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Finding the Fourth Proportional to 320,438.94, 480,237.90 and 235,802.88

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Solution

The fourth proportional to 320,438.94, 480,237.90 and 235,802.88 is: 353,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438.94 : 480,237.90 = 235,802.88 : x
  2. Step 2: Convert to fraction form
    320,438.94/480,237.90 = 235,802.88/x
  3. Step 3: Cross multiply
    320,438.94x = 480,237.90 × 235,802.88
  4. Step 4: Simplify right side
    320,438.94x = 113,241,479,905.15
  5. Step 5: Solve for x
    x = 113,241,479,905.15/320,438.94
  6. Step 6: Final answer
    x = 353,394.88

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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.