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Finding the Fourth Proportional to 400,809.90, 553,095.60 and 219,486.64

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Solution

The fourth proportional to 400,809.90, 553,095.60 and 219,486.64 is: 302,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,809.90 : 553,095.60 = 219,486.64 : x
  2. Step 2: Convert to fraction form
    400,809.90/553,095.60 = 219,486.64/x
  3. Step 3: Cross multiply
    400,809.90x = 553,095.60 × 219,486.64
  4. Step 4: Simplify right side
    400,809.90x = 121,397,093,661.71
  5. Step 5: Solve for x
    x = 121,397,093,661.71/400,809.90
  6. Step 6: Final answer
    x = 302,879.48

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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.