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Finding the Fourth Proportional to 421,721.83, 581,370.81 and 300,652.93

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Solution

The fourth proportional to 421,721.83, 581,370.81 and 300,652.93 is: 414,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,721.83 : 581,370.81 = 300,652.93 : x
  2. Step 2: Convert to fraction form
    421,721.83/581,370.81 = 300,652.93/x
  3. Step 3: Cross multiply
    421,721.83x = 581,370.81 × 300,652.93
  4. Step 4: Simplify right side
    421,721.83x = 174,790,835,989.55
  5. Step 5: Solve for x
    x = 174,790,835,989.55/421,721.83
  6. Step 6: Final answer
    x = 414,469.50

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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.