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Finding the Fourth Proportional to 922,001.78, 1,382,213.82 and 353,790.64

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Solution

The fourth proportional to 922,001.78, 1,382,213.82 and 353,790.64 is: 530,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,001.78 : 1,382,213.82 = 353,790.64 : x
  2. Step 2: Convert to fraction form
    922,001.78/1,382,213.82 = 353,790.64/x
  3. Step 3: Cross multiply
    922,001.78x = 1,382,213.82 × 353,790.64
  4. Step 4: Simplify right side
    922,001.78x = 489,014,311,994.65
  5. Step 5: Solve for x
    x = 489,014,311,994.65/922,001.78
  6. Step 6: Final answer
    x = 530,383.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.