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Finding the Fourth Proportional to 1,659,336, 2,489,004 and 477,384

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Solution

The fourth proportional to 1,659,336, 2,489,004 and 477,384 is: 716,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,336 : 2,489,004 = 477,384 : x
  2. Step 2: Convert to fraction form
    1,659,336/2,489,004 = 477,384/x
  3. Step 3: Cross multiply
    1,659,336x = 2,489,004 × 477,384
  4. Step 4: Simplify right side
    1,659,336x = 1,188,210,685,536
  5. Step 5: Solve for x
    x = 1,188,210,685,536/1,659,336
  6. Step 6: Final answer
    x = 716,076

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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.