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Finding the Fourth Proportional to 382,907.76, 528,462.27 and 219,627.96

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Solution

The fourth proportional to 382,907.76, 528,462.27 and 219,627.96 is: 303,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,907.76 : 528,462.27 = 219,627.96 : x
  2. Step 2: Convert to fraction form
    382,907.76/528,462.27 = 219,627.96/x
  3. Step 3: Cross multiply
    382,907.76x = 528,462.27 × 219,627.96
  4. Step 4: Simplify right side
    382,907.76x = 116,065,090,297.07
  5. Step 5: Solve for x
    x = 116,065,090,297.07/382,907.76
  6. Step 6: Final answer
    x = 303,115.01

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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.