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Finding the Fourth Proportional to 402,974.64, 556,106.16 and 221,698.32

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Solution

The fourth proportional to 402,974.64, 556,106.16 and 221,698.32 is: 305,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,974.64 : 556,106.16 = 221,698.32 : x
  2. Step 2: Convert to fraction form
    402,974.64/556,106.16 = 221,698.32/x
  3. Step 3: Cross multiply
    402,974.64x = 556,106.16 × 221,698.32
  4. Step 4: Simplify right side
    402,974.64x = 123,287,801,413.65
  5. Step 5: Solve for x
    x = 123,287,801,413.65/402,974.64
  6. Step 6: Final answer
    x = 305,944.32

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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.