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Finding the Fourth Proportional to 304,088.65, 419,550.24 and 212,205.49

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Solution

The fourth proportional to 304,088.65, 419,550.24 and 212,205.49 is: 292,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,088.65 : 419,550.24 = 212,205.49 : x
  2. Step 2: Convert to fraction form
    304,088.65/419,550.24 = 212,205.49/x
  3. Step 3: Cross multiply
    304,088.65x = 419,550.24 × 212,205.49
  4. Step 4: Simplify right side
    304,088.65x = 89,030,865,579.03
  5. Step 5: Solve for x
    x = 89,030,865,579.03/304,088.65
  6. Step 6: Final answer
    x = 292,779.31

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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.