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Finding the Fourth Proportional to 482,840.40, 724,390.20 and 430,611.60

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Solution

The fourth proportional to 482,840.40, 724,390.20 and 430,611.60 is: 646,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,840.40 : 724,390.20 = 430,611.60 : x
  2. Step 2: Convert to fraction form
    482,840.40/724,390.20 = 430,611.60/x
  3. Step 3: Cross multiply
    482,840.40x = 724,390.20 × 430,611.60
  4. Step 4: Simplify right side
    482,840.40x = 311,930,823,046.32
  5. Step 5: Solve for x
    x = 311,930,823,046.32/482,840.40
  6. Step 6: Final answer
    x = 646,032.98

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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.