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Finding the Fourth Proportional to 427,602.30, 589,608.28 and 319,826.94

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Solution

The fourth proportional to 427,602.30, 589,608.28 and 319,826.94 is: 440,999.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,602.30 : 589,608.28 = 319,826.94 : x
  2. Step 2: Convert to fraction form
    427,602.30/589,608.28 = 319,826.94/x
  3. Step 3: Cross multiply
    427,602.30x = 589,608.28 × 319,826.94
  4. Step 4: Simplify right side
    427,602.30x = 188,572,611,991.06
  5. Step 5: Solve for x
    x = 188,572,611,991.06/427,602.30
  6. Step 6: Final answer
    x = 440,999.99

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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.