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Finding the Fourth Proportional to 427,608.84, 641,406.52 and 147,128.52

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Solution

The fourth proportional to 427,608.84, 641,406.52 and 147,128.52 is: 220,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,608.84 : 641,406.52 = 147,128.52 : x
  2. Step 2: Convert to fraction form
    427,608.84/641,406.52 = 147,128.52/x
  3. Step 3: Cross multiply
    427,608.84x = 641,406.52 × 147,128.52
  4. Step 4: Simplify right side
    427,608.84x = 94,369,192,005.95
  5. Step 5: Solve for x
    x = 94,369,192,005.95/427,608.84
  6. Step 6: Final answer
    x = 220,690.46

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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.