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Finding the Fourth Proportional to 320,446.33, 480,696.93 and 83,788.63

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Solution

The fourth proportional to 320,446.33, 480,696.93 and 83,788.63 is: 125,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,446.33 : 480,696.93 = 83,788.63 : x
  2. Step 2: Convert to fraction form
    320,446.33/480,696.93 = 83,788.63/x
  3. Step 3: Cross multiply
    320,446.33x = 480,696.93 × 83,788.63
  4. Step 4: Simplify right side
    320,446.33x = 40,276,937,209.91
  5. Step 5: Solve for x
    x = 40,276,937,209.91/320,446.33
  6. Step 6: Final answer
    x = 125,690.12

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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.