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Finding the Fourth Proportional to 611,533.40, 844,315.78 and 397,284.08

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Solution

The fourth proportional to 611,533.40, 844,315.78 and 397,284.08 is: 548,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,533.40 : 844,315.78 = 397,284.08 : x
  2. Step 2: Convert to fraction form
    611,533.40/844,315.78 = 397,284.08/x
  3. Step 3: Cross multiply
    611,533.40x = 844,315.78 × 397,284.08
  4. Step 4: Simplify right side
    611,533.40x = 335,433,217,886.78
  5. Step 5: Solve for x
    x = 335,433,217,886.78/611,533.40
  6. Step 6: Final answer
    x = 548,511.69

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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.