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Finding the Fourth Proportional to 384,698.21, 531,031.68 and 344,340.77

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Solution

The fourth proportional to 384,698.21, 531,031.68 and 344,340.77 is: 475,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,698.21 : 531,031.68 = 344,340.77 : x
  2. Step 2: Convert to fraction form
    384,698.21/531,031.68 = 344,340.77/x
  3. Step 3: Cross multiply
    384,698.21x = 531,031.68 × 344,340.77
  4. Step 4: Simplify right side
    384,698.21x = 182,855,854,930.44
  5. Step 5: Solve for x
    x = 182,855,854,930.44/384,698.21
  6. Step 6: Final answer
    x = 475,322.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.