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Finding the Fourth Proportional to 421,561.43, 581,768.63 and 230,574.81

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Solution

The fourth proportional to 421,561.43, 581,768.63 and 230,574.81 is: 318,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,561.43 : 581,768.63 = 230,574.81 : x
  2. Step 2: Convert to fraction form
    421,561.43/581,768.63 = 230,574.81/x
  3. Step 3: Cross multiply
    421,561.43x = 581,768.63 × 230,574.81
  4. Step 4: Simplify right side
    421,561.43x = 134,141,190,173.34
  5. Step 5: Solve for x
    x = 134,141,190,173.34/421,561.43
  6. Step 6: Final answer
    x = 318,200.82

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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.