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Finding the Fourth Proportional to 397,853.70, 549,045.11 and 216,570.84

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Solution

The fourth proportional to 397,853.70, 549,045.11 and 216,570.84 is: 298,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,853.70 : 549,045.11 = 216,570.84 : x
  2. Step 2: Convert to fraction form
    397,853.70/549,045.11 = 216,570.84/x
  3. Step 3: Cross multiply
    397,853.70x = 549,045.11 × 216,570.84
  4. Step 4: Simplify right side
    397,853.70x = 118,907,156,842.51
  5. Step 5: Solve for x
    x = 118,907,156,842.51/397,853.70
  6. Step 6: Final answer
    x = 298,871.57

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1.5x scale

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.