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Finding the Fourth Proportional to 448,840.63, 619,423.77 and 257,866.39

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Solution

The fourth proportional to 448,840.63, 619,423.77 and 257,866.39 is: 355,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,840.63 : 619,423.77 = 257,866.39 : x
  2. Step 2: Convert to fraction form
    448,840.63/619,423.77 = 257,866.39/x
  3. Step 3: Cross multiply
    448,840.63x = 619,423.77 × 257,866.39
  4. Step 4: Simplify right side
    448,840.63x = 159,728,571,450.09
  5. Step 5: Solve for x
    x = 159,728,571,450.09/448,840.63
  6. Step 6: Final answer
    x = 355,869.23

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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.