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Finding the Fourth Proportional to 320,267.54, 480,026.10 and 130,609.64

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Solution

The fourth proportional to 320,267.54, 480,026.10 and 130,609.64 is: 195,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,267.54 : 480,026.10 = 130,609.64 : x
  2. Step 2: Convert to fraction form
    320,267.54/480,026.10 = 130,609.64/x
  3. Step 3: Cross multiply
    320,267.54x = 480,026.10 × 130,609.64
  4. Step 4: Simplify right side
    320,267.54x = 62,696,036,111.60
  5. Step 5: Solve for x
    x = 62,696,036,111.60/320,267.54
  6. Step 6: Final answer
    x = 195,761.44

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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.