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Finding the Fourth Proportional to 520,884, 718,819.92 and 282,420

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Solution

The fourth proportional to 520,884, 718,819.92 and 282,420 is: 389,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,884 : 718,819.92 = 282,420 : x
  2. Step 2: Convert to fraction form
    520,884/718,819.92 = 282,420/x
  3. Step 3: Cross multiply
    520,884x = 718,819.92 × 282,420
  4. Step 4: Simplify right side
    520,884x = 203,009,121,806.40
  5. Step 5: Solve for x
    x = 203,009,121,806.40/520,884
  6. Step 6: Final answer
    x = 389,739.60

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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.