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Finding the Fourth Proportional to 1,456,550, 2,184,825 and 459,278

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Solution

The fourth proportional to 1,456,550, 2,184,825 and 459,278 is: 688,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,550 : 2,184,825 = 459,278 : x
  2. Step 2: Convert to fraction form
    1,456,550/2,184,825 = 459,278/x
  3. Step 3: Cross multiply
    1,456,550x = 2,184,825 × 459,278
  4. Step 4: Simplify right side
    1,456,550x = 1,003,442,056,350
  5. Step 5: Solve for x
    x = 1,003,442,056,350/1,456,550
  6. Step 6: Final answer
    x = 688,917

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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.