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Finding the Fourth Proportional to 213,999.63, 320,998.69 and 64,239.31

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Solution

The fourth proportional to 213,999.63, 320,998.69 and 64,239.31 is: 96,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,999.63 : 320,998.69 = 64,239.31 : x
  2. Step 2: Convert to fraction form
    213,999.63/320,998.69 = 64,239.31/x
  3. Step 3: Cross multiply
    213,999.63x = 320,998.69 × 64,239.31
  4. Step 4: Simplify right side
    213,999.63x = 20,620,734,356.50
  5. Step 5: Solve for x
    x = 20,620,734,356.50/213,999.63
  6. Step 6: Final answer
    x = 96,358.74

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1.5x scale

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.