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Finding the Fourth Proportional to 407,031.78, 610,576.82 and 107,509.37

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Solution

The fourth proportional to 407,031.78, 610,576.82 and 107,509.37 is: 161,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,031.78 : 610,576.82 = 107,509.37 : x
  2. Step 2: Convert to fraction form
    407,031.78/610,576.82 = 107,509.37/x
  3. Step 3: Cross multiply
    407,031.78x = 610,576.82 × 107,509.37
  4. Step 4: Simplify right side
    407,031.78x = 65,642,727,190.81
  5. Step 5: Solve for x
    x = 65,642,727,190.81/407,031.78
  6. Step 6: Final answer
    x = 161,271.75

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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.