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Finding the Fourth Proportional to 384,893.80, 577,340.70 and 258,922.60

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Solution

The fourth proportional to 384,893.80, 577,340.70 and 258,922.60 is: 388,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,893.80 : 577,340.70 = 258,922.60 : x
  2. Step 2: Convert to fraction form
    384,893.80/577,340.70 = 258,922.60/x
  3. Step 3: Cross multiply
    384,893.80x = 577,340.70 × 258,922.60
  4. Step 4: Simplify right side
    384,893.80x = 149,486,555,129.82
  5. Step 5: Solve for x
    x = 149,486,555,129.82/384,893.80
  6. Step 6: Final answer
    x = 388,383.90

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1.5x scale

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.