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Finding the Fourth Proportional to 397,907.36, 549,119.15 and 216,624.50

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Solution

The fourth proportional to 397,907.36, 549,119.15 and 216,624.50 is: 298,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,907.36 : 549,119.15 = 216,624.50 : x
  2. Step 2: Convert to fraction form
    397,907.36/549,119.15 = 216,624.50/x
  3. Step 3: Cross multiply
    397,907.36x = 549,119.15 × 216,624.50
  4. Step 4: Simplify right side
    397,907.36x = 118,952,657,480.46
  5. Step 5: Solve for x
    x = 118,952,657,480.46/397,907.36
  6. Step 6: Final answer
    x = 298,945.61

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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.