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Finding the Fourth Proportional to 421,007.84, 580,969.68 and 229,986.08

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Solution

The fourth proportional to 421,007.84, 580,969.68 and 229,986.08 is: 317,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,007.84 : 580,969.68 = 229,986.08 : x
  2. Step 2: Convert to fraction form
    421,007.84/580,969.68 = 229,986.08/x
  3. Step 3: Cross multiply
    421,007.84x = 580,969.68 × 229,986.08
  4. Step 4: Simplify right side
    421,007.84x = 133,614,939,302.05
  5. Step 5: Solve for x
    x = 133,614,939,302.05/421,007.84
  6. Step 6: Final answer
    x = 317,369.24

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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.