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Finding the Fourth Proportional to 213,953.34, 320,809.96 and 146,561.54

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Solution

The fourth proportional to 213,953.34, 320,809.96 and 146,561.54 is: 219,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,953.34 : 320,809.96 = 146,561.54 : x
  2. Step 2: Convert to fraction form
    213,953.34/320,809.96 = 146,561.54/x
  3. Step 3: Cross multiply
    213,953.34x = 320,809.96 × 146,561.54
  4. Step 4: Simplify right side
    213,953.34x = 47,018,401,784.94
  5. Step 5: Solve for x
    x = 47,018,401,784.94/213,953.34
  6. Step 6: Final answer
    x = 219,760.07

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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.