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Finding the Fourth Proportional to 421,711.44, 581,970.19 and 230,728.93

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Solution

The fourth proportional to 421,711.44, 581,970.19 and 230,728.93 is: 318,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,711.44 : 581,970.19 = 230,728.93 : x
  2. Step 2: Convert to fraction form
    421,711.44/581,970.19 = 230,728.93/x
  3. Step 3: Cross multiply
    421,711.44x = 581,970.19 × 230,728.93
  4. Step 4: Simplify right side
    421,711.44x = 134,277,359,230.60
  5. Step 5: Solve for x
    x = 134,277,359,230.60/421,711.44
  6. Step 6: Final answer
    x = 318,410.52

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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.