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Finding the Fourth Proportional to 301,172.60, 415,631.22 and 180,290.50

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Solution

The fourth proportional to 301,172.60, 415,631.22 and 180,290.50 is: 248,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,172.60 : 415,631.22 = 180,290.50 : x
  2. Step 2: Convert to fraction form
    301,172.60/415,631.22 = 180,290.50/x
  3. Step 3: Cross multiply
    301,172.60x = 415,631.22 × 180,290.50
  4. Step 4: Simplify right side
    301,172.60x = 74,934,360,469.41
  5. Step 5: Solve for x
    x = 74,934,360,469.41/301,172.60
  6. Step 6: Final answer
    x = 248,808.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.