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Finding the Fourth Proportional to 427,601.80, 589,607.59 and 319,826.44

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Solution

The fourth proportional to 427,601.80, 589,607.59 and 319,826.44 is: 440,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,601.80 : 589,607.59 = 319,826.44 : x
  2. Step 2: Convert to fraction form
    427,601.80/589,607.59 = 319,826.44/x
  3. Step 3: Cross multiply
    427,601.80x = 589,607.59 × 319,826.44
  4. Step 4: Simplify right side
    427,601.80x = 188,572,091,959.51
  5. Step 5: Solve for x
    x = 188,572,091,959.51/427,601.80
  6. Step 6: Final answer
    x = 440,999.30

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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.