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Finding the Fourth Proportional to 421,694.34, 581,928.20 and 230,709.30

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Solution

The fourth proportional to 421,694.34, 581,928.20 and 230,709.30 is: 318,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,694.34 : 581,928.20 = 230,709.30 : x
  2. Step 2: Convert to fraction form
    421,694.34/581,928.20 = 230,709.30/x
  3. Step 3: Cross multiply
    421,694.34x = 581,928.20 × 230,709.30
  4. Step 4: Simplify right side
    421,694.34x = 134,256,246,518.71
  5. Step 5: Solve for x
    x = 134,256,246,518.71/421,694.34
  6. Step 6: Final answer
    x = 318,373.37

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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.