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Finding the Fourth Proportional to 288,666.78, 433,065.78 and 130,940.34

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Solution

The fourth proportional to 288,666.78, 433,065.78 and 130,940.34 is: 196,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,666.78 : 433,065.78 = 130,940.34 : x
  2. Step 2: Convert to fraction form
    288,666.78/433,065.78 = 130,940.34/x
  3. Step 3: Cross multiply
    288,666.78x = 433,065.78 × 130,940.34
  4. Step 4: Simplify right side
    288,666.78x = 56,705,780,475.57
  5. Step 5: Solve for x
    x = 56,705,780,475.57/288,666.78
  6. Step 6: Final answer
    x = 196,440.27

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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.