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Finding the Fourth Proportional to 288,749.70, 433,116.45 and 130,977.90

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Solution

The fourth proportional to 288,749.70, 433,116.45 and 130,977.90 is: 196,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,749.70 : 433,116.45 = 130,977.90 : x
  2. Step 2: Convert to fraction form
    288,749.70/433,116.45 = 130,977.90/x
  3. Step 3: Cross multiply
    288,749.70x = 433,116.45 × 130,977.90
  4. Step 4: Simplify right side
    288,749.70x = 56,728,683,076.46
  5. Step 5: Solve for x
    x = 56,728,683,076.46/288,749.70
  6. Step 6: Final answer
    x = 196,463.18

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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.