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Finding the Fourth Proportional to 427,969.18, 590,590.23 and 236,978.47

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Solution

The fourth proportional to 427,969.18, 590,590.23 and 236,978.47 is: 327,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,969.18 : 590,590.23 = 236,978.47 : x
  2. Step 2: Convert to fraction form
    427,969.18/590,590.23 = 236,978.47/x
  3. Step 3: Cross multiply
    427,969.18x = 590,590.23 × 236,978.47
  4. Step 4: Simplify right side
    427,969.18x = 139,957,169,102.35
  5. Step 5: Solve for x
    x = 139,957,169,102.35/427,969.18
  6. Step 6: Final answer
    x = 327,026.28

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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.