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Finding the Fourth Proportional to 397,853.51, 549,044.85 and 216,570.65

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Solution

The fourth proportional to 397,853.51, 549,044.85 and 216,570.65 is: 298,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,853.51 : 549,044.85 = 216,570.65 : x
  2. Step 2: Convert to fraction form
    397,853.51/549,044.85 = 216,570.65/x
  3. Step 3: Cross multiply
    397,853.51x = 549,044.85 × 216,570.65
  4. Step 4: Simplify right side
    397,853.51x = 118,907,000,043.65
  5. Step 5: Solve for x
    x = 118,907,000,043.65/397,853.51
  6. Step 6: Final answer
    x = 298,871.31

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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.