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Finding the Fourth Proportional to 588,483, 812,119.50 and 320,211

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Solution

The fourth proportional to 588,483, 812,119.50 and 320,211 is: 441,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,483 : 812,119.50 = 320,211 : x
  2. Step 2: Convert to fraction form
    588,483/812,119.50 = 320,211/x
  3. Step 3: Cross multiply
    588,483x = 812,119.50 × 320,211
  4. Step 4: Simplify right side
    588,483x = 260,049,597,214.50
  5. Step 5: Solve for x
    x = 260,049,597,214.50/588,483
  6. Step 6: Final answer
    x = 441,898.23

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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.