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Finding the Fourth Proportional to 213,828, 320,594.16 and 153,893.28

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Solution

The fourth proportional to 213,828, 320,594.16 and 153,893.28 is: 230,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,828 : 320,594.16 = 153,893.28 : x
  2. Step 2: Convert to fraction form
    213,828/320,594.16 = 153,893.28/x
  3. Step 3: Cross multiply
    213,828x = 320,594.16 × 153,893.28
  4. Step 4: Simplify right side
    213,828x = 49,337,286,831.24
  5. Step 5: Solve for x
    x = 49,337,286,831.24/213,828
  6. Step 6: Final answer
    x = 230,733.52

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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.