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Finding the Fourth Proportional to 407,031.28, 610,576.07 and 107,508.87

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Solution

The fourth proportional to 407,031.28, 610,576.07 and 107,508.87 is: 161,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,031.28 : 610,576.07 = 107,508.87 : x
  2. Step 2: Convert to fraction form
    407,031.28/610,576.07 = 107,508.87/x
  3. Step 3: Cross multiply
    407,031.28x = 610,576.07 × 107,508.87
  4. Step 4: Simplify right side
    407,031.28x = 65,642,342,797.20
  5. Step 5: Solve for x
    x = 65,642,342,797.20/407,031.28
  6. Step 6: Final answer
    x = 161,271.01

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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.