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Finding the Fourth Proportional to 521,604.42, 719,779.14 and 289,015.76

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Solution

The fourth proportional to 521,604.42, 719,779.14 and 289,015.76 is: 398,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,604.42 : 719,779.14 = 289,015.76 : x
  2. Step 2: Convert to fraction form
    521,604.42/719,779.14 = 289,015.76/x
  3. Step 3: Cross multiply
    521,604.42x = 719,779.14 × 289,015.76
  4. Step 4: Simplify right side
    521,604.42x = 208,027,511,580.35
  5. Step 5: Solve for x
    x = 208,027,511,580.35/521,604.42
  6. Step 6: Final answer
    x = 398,822.37

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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.