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Finding the Fourth Proportional to 511,509.26, 705,866.60 and 282,076.22

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Solution

The fourth proportional to 511,509.26, 705,866.60 and 282,076.22 is: 389,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,509.26 : 705,866.60 = 282,076.22 : x
  2. Step 2: Convert to fraction form
    511,509.26/705,866.60 = 282,076.22/x
  3. Step 3: Cross multiply
    511,509.26x = 705,866.60 × 282,076.22
  4. Step 4: Simplify right side
    511,509.26x = 199,108,184,822.11
  5. Step 5: Solve for x
    x = 199,108,184,822.11/511,509.26
  6. Step 6: Final answer
    x = 389,256.26

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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.