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Finding the Fourth Proportional to 320,136.84, 480,278.16 and 109,762.02

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Solution

The fourth proportional to 320,136.84, 480,278.16 and 109,762.02 is: 164,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,136.84 : 480,278.16 = 109,762.02 : x
  2. Step 2: Convert to fraction form
    320,136.84/480,278.16 = 109,762.02/x
  3. Step 3: Cross multiply
    320,136.84x = 480,278.16 × 109,762.02
  4. Step 4: Simplify right side
    320,136.84x = 52,716,301,003.48
  5. Step 5: Solve for x
    x = 52,716,301,003.48/320,136.84
  6. Step 6: Final answer
    x = 164,668.02

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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.