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Finding the Fourth Proportional to 397,892.84, 549,075.30 and 216,601

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Solution

The fourth proportional to 397,892.84, 549,075.30 and 216,601 is: 298,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,892.84 : 549,075.30 = 216,601 : x
  2. Step 2: Convert to fraction form
    397,892.84/549,075.30 = 216,601/x
  3. Step 3: Cross multiply
    397,892.84x = 549,075.30 × 216,601
  4. Step 4: Simplify right side
    397,892.84x = 118,930,259,055.30
  5. Step 5: Solve for x
    x = 118,930,259,055.30/397,892.84
  6. Step 6: Final answer
    x = 298,900.22

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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.