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Finding the Fourth Proportional to 430,930.60, 646,914.30 and 427,820.20

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Solution

The fourth proportional to 430,930.60, 646,914.30 and 427,820.20 is: 642,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,930.60 : 646,914.30 = 427,820.20 : x
  2. Step 2: Convert to fraction form
    430,930.60/646,914.30 = 427,820.20/x
  3. Step 3: Cross multiply
    430,930.60x = 646,914.30 × 427,820.20
  4. Step 4: Simplify right side
    430,930.60x = 276,763,005,208.86
  5. Step 5: Solve for x
    x = 276,763,005,208.86/430,930.60
  6. Step 6: Final answer
    x = 642,244.96

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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.