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Finding the Fourth Proportional to 719,516, 1,079,326.32 and 276,284

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Solution

The fourth proportional to 719,516, 1,079,326.32 and 276,284 is: 414,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,516 : 1,079,326.32 = 276,284 : x
  2. Step 2: Convert to fraction form
    719,516/1,079,326.32 = 276,284/x
  3. Step 3: Cross multiply
    719,516x = 1,079,326.32 × 276,284
  4. Step 4: Simplify right side
    719,516x = 298,200,592,994.88
  5. Step 5: Solve for x
    x = 298,200,592,994.88/719,516
  6. Step 6: Final answer
    x = 414,446.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.