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Finding the Fourth Proportional to 420,698.88, 580,651.20 and 239,423.04

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Solution

The fourth proportional to 420,698.88, 580,651.20 and 239,423.04 is: 330,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,698.88 : 580,651.20 = 239,423.04 : x
  2. Step 2: Convert to fraction form
    420,698.88/580,651.20 = 239,423.04/x
  3. Step 3: Cross multiply
    420,698.88x = 580,651.20 × 239,423.04
  4. Step 4: Simplify right side
    420,698.88x = 139,021,275,483.65
  5. Step 5: Solve for x
    x = 139,021,275,483.65/420,698.88
  6. Step 6: Final answer
    x = 330,453.16

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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.