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Finding the Fourth Proportional to 383,113.78, 528,690.56 and 211,047.84

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Solution

The fourth proportional to 383,113.78, 528,690.56 and 211,047.84 is: 291,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,113.78 : 528,690.56 = 211,047.84 : x
  2. Step 2: Convert to fraction form
    383,113.78/528,690.56 = 211,047.84/x
  3. Step 3: Cross multiply
    383,113.78x = 528,690.56 × 211,047.84
  4. Step 4: Simplify right side
    383,113.78x = 111,578,999,661.15
  5. Step 5: Solve for x
    x = 111,578,999,661.15/383,113.78
  6. Step 6: Final answer
    x = 291,242.46

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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.