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Finding the Fourth Proportional to 1,767,144, 2,650,716 and 437,448

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Solution

The fourth proportional to 1,767,144, 2,650,716 and 437,448 is: 656,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,144 : 2,650,716 = 437,448 : x
  2. Step 2: Convert to fraction form
    1,767,144/2,650,716 = 437,448/x
  3. Step 3: Cross multiply
    1,767,144x = 2,650,716 × 437,448
  4. Step 4: Simplify right side
    1,767,144x = 1,159,550,412,768
  5. Step 5: Solve for x
    x = 1,159,550,412,768/1,767,144
  6. Step 6: Final answer
    x = 656,172

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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.