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Finding the Fourth Proportional to 320,421.60, 480,705.30 and 187,233.30

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Solution

The fourth proportional to 320,421.60, 480,705.30 and 187,233.30 is: 280,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,421.60 : 480,705.30 = 187,233.30 : x
  2. Step 2: Convert to fraction form
    320,421.60/480,705.30 = 187,233.30/x
  3. Step 3: Cross multiply
    320,421.60x = 480,705.30 × 187,233.30
  4. Step 4: Simplify right side
    320,421.60x = 90,004,039,646.49
  5. Step 5: Solve for x
    x = 90,004,039,646.49/320,421.60
  6. Step 6: Final answer
    x = 280,892.55

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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.