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Finding the Fourth Proportional to 397,853.64, 549,045.02 and 216,570.78

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Solution

The fourth proportional to 397,853.64, 549,045.02 and 216,570.78 is: 298,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,853.64 : 549,045.02 = 216,570.78 : x
  2. Step 2: Convert to fraction form
    397,853.64/549,045.02 = 216,570.78/x
  3. Step 3: Cross multiply
    397,853.64x = 549,045.02 × 216,570.78
  4. Step 4: Simplify right side
    397,853.64x = 118,907,107,153.66
  5. Step 5: Solve for x
    x = 118,907,107,153.66/397,853.64
  6. Step 6: Final answer
    x = 298,871.48

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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.