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Finding the Fourth Proportional to 338,030.40, 507,039.60 and 135,678

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Solution

The fourth proportional to 338,030.40, 507,039.60 and 135,678 is: 203,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,030.40 : 507,039.60 = 135,678 : x
  2. Step 2: Convert to fraction form
    338,030.40/507,039.60 = 135,678/x
  3. Step 3: Cross multiply
    338,030.40x = 507,039.60 × 135,678
  4. Step 4: Simplify right side
    338,030.40x = 68,794,118,848.80
  5. Step 5: Solve for x
    x = 68,794,118,848.80/338,030.40
  6. Step 6: Final answer
    x = 203,514.59

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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.