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Finding the Fourth Proportional to 288,668.78, 433,068.78 and 130,942.34

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Solution

The fourth proportional to 288,668.78, 433,068.78 and 130,942.34 is: 196,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,668.78 : 433,068.78 = 130,942.34 : x
  2. Step 2: Convert to fraction form
    288,668.78/433,068.78 = 130,942.34/x
  3. Step 3: Cross multiply
    288,668.78x = 433,068.78 × 130,942.34
  4. Step 4: Simplify right side
    288,668.78x = 56,707,039,434.15
  5. Step 5: Solve for x
    x = 56,707,039,434.15/288,668.78
  6. Step 6: Final answer
    x = 196,443.27

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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.