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Finding the Fourth Proportional to 397,852.70, 549,043.73 and 216,569.84

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Solution

The fourth proportional to 397,852.70, 549,043.73 and 216,569.84 is: 298,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,852.70 : 549,043.73 = 216,569.84 : x
  2. Step 2: Convert to fraction form
    397,852.70/549,043.73 = 216,569.84/x
  3. Step 3: Cross multiply
    397,852.70x = 549,043.73 × 216,569.84
  4. Step 4: Simplify right side
    397,852.70x = 118,906,308,931.04
  5. Step 5: Solve for x
    x = 118,906,308,931.04/397,852.70
  6. Step 6: Final answer
    x = 298,870.19

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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.