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Finding the Fourth Proportional to 338,409.76, 507,272.86 and 212,138.51

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Solution

The fourth proportional to 338,409.76, 507,272.86 and 212,138.51 is: 317,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,409.76 : 507,272.86 = 212,138.51 : x
  2. Step 2: Convert to fraction form
    338,409.76/507,272.86 = 212,138.51/x
  3. Step 3: Cross multiply
    338,409.76x = 507,272.86 × 212,138.51
  4. Step 4: Simplify right side
    338,409.76x = 107,612,108,683.84
  5. Step 5: Solve for x
    x = 107,612,108,683.84/338,409.76
  6. Step 6: Final answer
    x = 317,993.51

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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.