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Finding the Fourth Proportional to 456,478.96, 684,830.50 and 321,806.20

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Solution

The fourth proportional to 456,478.96, 684,830.50 and 321,806.20 is: 482,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,478.96 : 684,830.50 = 321,806.20 : x
  2. Step 2: Convert to fraction form
    456,478.96/684,830.50 = 321,806.20/x
  3. Step 3: Cross multiply
    456,478.96x = 684,830.50 × 321,806.20
  4. Step 4: Simplify right side
    456,478.96x = 220,382,700,849.10
  5. Step 5: Solve for x
    x = 220,382,700,849.10/456,478.96
  6. Step 6: Final answer
    x = 482,788.30

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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.