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Finding the Fourth Proportional to 397,852.57, 549,043.55 and 216,569.71

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Solution

The fourth proportional to 397,852.57, 549,043.55 and 216,569.71 is: 298,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,852.57 : 549,043.55 = 216,569.71 : x
  2. Step 2: Convert to fraction form
    397,852.57/549,043.55 = 216,569.71/x
  3. Step 3: Cross multiply
    397,852.57x = 549,043.55 × 216,569.71
  4. Step 4: Simplify right side
    397,852.57x = 118,906,202,400.87
  5. Step 5: Solve for x
    x = 118,906,202,400.87/397,852.57
  6. Step 6: Final answer
    x = 298,870.01

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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.