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Finding the Fourth Proportional to 430,903.20, 646,383.60 and 146,589.60

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Solution

The fourth proportional to 430,903.20, 646,383.60 and 146,589.60 is: 219,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,903.20 : 646,383.60 = 146,589.60 : x
  2. Step 2: Convert to fraction form
    430,903.20/646,383.60 = 146,589.60/x
  3. Step 3: Cross multiply
    430,903.20x = 646,383.60 × 146,589.60
  4. Step 4: Simplify right side
    430,903.20x = 94,753,113,370.56
  5. Step 5: Solve for x
    x = 94,753,113,370.56/430,903.20
  6. Step 6: Final answer
    x = 219,894.20

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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.