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Finding the Fourth Proportional to 279,577.68, 385,810.12 and 160,338

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Solution

The fourth proportional to 279,577.68, 385,810.12 and 160,338 is: 221,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,577.68 : 385,810.12 = 160,338 : x
  2. Step 2: Convert to fraction form
    279,577.68/385,810.12 = 160,338/x
  3. Step 3: Cross multiply
    279,577.68x = 385,810.12 × 160,338
  4. Step 4: Simplify right side
    279,577.68x = 61,860,023,020.56
  5. Step 5: Solve for x
    x = 61,860,023,020.56/279,577.68
  6. Step 6: Final answer
    x = 221,262.38

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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.