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Finding the Fourth Proportional to 433,137.48, 649,776.30 and 133,548

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Solution

The fourth proportional to 433,137.48, 649,776.30 and 133,548 is: 200,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,137.48 : 649,776.30 = 133,548 : x
  2. Step 2: Convert to fraction form
    433,137.48/649,776.30 = 133,548/x
  3. Step 3: Cross multiply
    433,137.48x = 649,776.30 × 133,548
  4. Step 4: Simplify right side
    433,137.48x = 86,776,325,312.40
  5. Step 5: Solve for x
    x = 86,776,325,312.40/433,137.48
  6. Step 6: Final answer
    x = 200,343.61

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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.