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Finding the Fourth Proportional to 397,840.47, 549,033.29 and 216,559

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Solution

The fourth proportional to 397,840.47, 549,033.29 and 216,559 is: 298,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,840.47 : 549,033.29 = 216,559 : x
  2. Step 2: Convert to fraction form
    397,840.47/549,033.29 = 216,559/x
  3. Step 3: Cross multiply
    397,840.47x = 549,033.29 × 216,559
  4. Step 4: Simplify right side
    397,840.47x = 118,898,100,249.11
  5. Step 5: Solve for x
    x = 118,898,100,249.11/397,840.47
  6. Step 6: Final answer
    x = 298,858.74

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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.