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Finding the Fourth Proportional to 421,111.86, 581,141.97 and 230,133.30

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Solution

The fourth proportional to 421,111.86, 581,141.97 and 230,133.30 is: 317,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,111.86 : 581,141.97 = 230,133.30 : x
  2. Step 2: Convert to fraction form
    421,111.86/581,141.97 = 230,133.30/x
  3. Step 3: Cross multiply
    421,111.86x = 581,141.97 × 230,133.30
  4. Step 4: Simplify right side
    421,111.86x = 133,740,119,324.60
  5. Step 5: Solve for x
    x = 133,740,119,324.60/421,111.86
  6. Step 6: Final answer
    x = 317,588.11

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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.