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Finding the Fourth Proportional to 359,226.96, 495,903.24 and 208,268.88

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Solution

The fourth proportional to 359,226.96, 495,903.24 and 208,268.88 is: 287,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,226.96 : 495,903.24 = 208,268.88 : x
  2. Step 2: Convert to fraction form
    359,226.96/495,903.24 = 208,268.88/x
  3. Step 3: Cross multiply
    359,226.96x = 495,903.24 × 208,268.88
  4. Step 4: Simplify right side
    359,226.96x = 103,281,212,383.17
  5. Step 5: Solve for x
    x = 103,281,212,383.17/359,226.96
  6. Step 6: Final answer
    x = 287,509.64

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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.