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Finding the Fourth Proportional to 718,230, 1,077,345 and 274,998

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Solution

The fourth proportional to 718,230, 1,077,345 and 274,998 is: 412,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,230 : 1,077,345 = 274,998 : x
  2. Step 2: Convert to fraction form
    718,230/1,077,345 = 274,998/x
  3. Step 3: Cross multiply
    718,230x = 1,077,345 × 274,998
  4. Step 4: Simplify right side
    718,230x = 296,267,720,310
  5. Step 5: Solve for x
    x = 296,267,720,310/718,230
  6. Step 6: Final answer
    x = 412,497

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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.