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Finding the Fourth Proportional to 526,128.84, 789,194.91 and 147,047.07

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Solution

The fourth proportional to 526,128.84, 789,194.91 and 147,047.07 is: 220,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,128.84 : 789,194.91 = 147,047.07 : x
  2. Step 2: Convert to fraction form
    526,128.84/789,194.91 = 147,047.07/x
  3. Step 3: Cross multiply
    526,128.84x = 789,194.91 × 147,047.07
  4. Step 4: Simplify right side
    526,128.84x = 116,048,799,174.41
  5. Step 5: Solve for x
    x = 116,048,799,174.41/526,128.84
  6. Step 6: Final answer
    x = 220,571.07

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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.