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Finding the Fourth Proportional to 482,806.40, 724,339.20 and 430,577.60

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Solution

The fourth proportional to 482,806.40, 724,339.20 and 430,577.60 is: 645,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,806.40 : 724,339.20 = 430,577.60 : x
  2. Step 2: Convert to fraction form
    482,806.40/724,339.20 = 430,577.60/x
  3. Step 3: Cross multiply
    482,806.40x = 724,339.20 × 430,577.60
  4. Step 4: Simplify right side
    482,806.40x = 311,884,234,321.92
  5. Step 5: Solve for x
    x = 311,884,234,321.92/482,806.40
  6. Step 6: Final answer
    x = 645,981.98

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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.