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Finding the Fourth Proportional to 293,438.40, 438,775.20 and 218,788.80

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Solution

The fourth proportional to 293,438.40, 438,775.20 and 218,788.80 is: 327,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,438.40 : 438,775.20 = 218,788.80 : x
  2. Step 2: Convert to fraction form
    293,438.40/438,775.20 = 218,788.80/x
  3. Step 3: Cross multiply
    293,438.40x = 438,775.20 × 218,788.80
  4. Step 4: Simplify right side
    293,438.40x = 95,999,099,477.76
  5. Step 5: Solve for x
    x = 95,999,099,477.76/293,438.40
  6. Step 6: Final answer
    x = 327,152.48

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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.