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Finding the Fourth Proportional to 397,856.71, 549,049.26 and 216,573.85

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Solution

The fourth proportional to 397,856.71, 549,049.26 and 216,573.85 is: 298,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,856.71 : 549,049.26 = 216,573.85 : x
  2. Step 2: Convert to fraction form
    397,856.71/549,049.26 = 216,573.85/x
  3. Step 3: Cross multiply
    397,856.71x = 549,049.26 × 216,573.85
  4. Step 4: Simplify right side
    397,856.71x = 118,909,712,077.85
  5. Step 5: Solve for x
    x = 118,909,712,077.85/397,856.71
  6. Step 6: Final answer
    x = 298,875.72

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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.