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Finding the Fourth Proportional to 288,743.70, 433,107.45 and 130,971.90

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Solution

The fourth proportional to 288,743.70, 433,107.45 and 130,971.90 is: 196,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,743.70 : 433,107.45 = 130,971.90 : x
  2. Step 2: Convert to fraction form
    288,743.70/433,107.45 = 130,971.90/x
  3. Step 3: Cross multiply
    288,743.70x = 433,107.45 × 130,971.90
  4. Step 4: Simplify right side
    288,743.70x = 56,724,905,630.66
  5. Step 5: Solve for x
    x = 56,724,905,630.66/288,743.70
  6. Step 6: Final answer
    x = 196,454.18

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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.