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Finding the Fourth Proportional to 214,224.84, 319,422 and 208,339.56

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Solution

The fourth proportional to 214,224.84, 319,422 and 208,339.56 is: 310,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,224.84 : 319,422 = 208,339.56 : x
  2. Step 2: Convert to fraction form
    214,224.84/319,422 = 208,339.56/x
  3. Step 3: Cross multiply
    214,224.84x = 319,422 × 208,339.56
  4. Step 4: Simplify right side
    214,224.84x = 66,548,238,934.32
  5. Step 5: Solve for x
    x = 66,548,238,934.32/214,224.84
  6. Step 6: Final answer
    x = 310,646.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.