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Finding the Fourth Proportional to 397,854.95, 549,046.85 and 216,572.09

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Solution

The fourth proportional to 397,854.95, 549,046.85 and 216,572.09 is: 298,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,854.95 : 549,046.85 = 216,572.09 : x
  2. Step 2: Convert to fraction form
    397,854.95/549,046.85 = 216,572.09/x
  3. Step 3: Cross multiply
    397,854.95x = 549,046.85 × 216,572.09
  4. Step 4: Simplify right side
    397,854.95x = 118,908,219,984.32
  5. Step 5: Solve for x
    x = 118,908,219,984.32/397,854.95
  6. Step 6: Final answer
    x = 298,873.30

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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.