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Finding the Fourth Proportional to 427,606.84, 641,403.52 and 147,126.52

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Solution

The fourth proportional to 427,606.84, 641,403.52 and 147,126.52 is: 220,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,606.84 : 641,403.52 = 147,126.52 : x
  2. Step 2: Convert to fraction form
    427,606.84/641,403.52 = 147,126.52/x
  3. Step 3: Cross multiply
    427,606.84x = 641,403.52 × 147,126.52
  4. Step 4: Simplify right side
    427,606.84x = 94,367,467,813.35
  5. Step 5: Solve for x
    x = 94,367,467,813.35/427,606.84
  6. Step 6: Final answer
    x = 220,687.46

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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.