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Finding the Fourth Proportional to 482,806.80, 724,210.20 and 306,097.20

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Solution

The fourth proportional to 482,806.80, 724,210.20 and 306,097.20 is: 459,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,806.80 : 724,210.20 = 306,097.20 : x
  2. Step 2: Convert to fraction form
    482,806.80/724,210.20 = 306,097.20/x
  3. Step 3: Cross multiply
    482,806.80x = 724,210.20 × 306,097.20
  4. Step 4: Simplify right side
    482,806.80x = 221,678,714,431.44
  5. Step 5: Solve for x
    x = 221,678,714,431.44/482,806.80
  6. Step 6: Final answer
    x = 459,145.80

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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.