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Finding the Fourth Proportional to 430,708.86, 646,195.68 and 220,494.42

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Solution

The fourth proportional to 430,708.86, 646,195.68 and 220,494.42 is: 330,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,708.86 : 646,195.68 = 220,494.42 : x
  2. Step 2: Convert to fraction form
    430,708.86/646,195.68 = 220,494.42/x
  3. Step 3: Cross multiply
    430,708.86x = 646,195.68 × 220,494.42
  4. Step 4: Simplify right side
    430,708.86x = 142,482,541,668.11
  5. Step 5: Solve for x
    x = 142,482,541,668.11/430,708.86
  6. Step 6: Final answer
    x = 330,809.40

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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.