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Finding the Fourth Proportional to 380,314.64, 524,814.22 and 208,199.63

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Solution

The fourth proportional to 380,314.64, 524,814.22 and 208,199.63 is: 287,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,314.64 : 524,814.22 = 208,199.63 : x
  2. Step 2: Convert to fraction form
    380,314.64/524,814.22 = 208,199.63/x
  3. Step 3: Cross multiply
    380,314.64x = 524,814.22 × 208,199.63
  4. Step 4: Simplify right side
    380,314.64x = 109,266,123,278.17
  5. Step 5: Solve for x
    x = 109,266,123,278.17/380,314.64
  6. Step 6: Final answer
    x = 287,304.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.