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Finding the Fourth Proportional to 415,814.28, 623,715.93 and 100,268.64

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Solution

The fourth proportional to 415,814.28, 623,715.93 and 100,268.64 is: 150,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,814.28 : 623,715.93 = 100,268.64 : x
  2. Step 2: Convert to fraction form
    415,814.28/623,715.93 = 100,268.64/x
  3. Step 3: Cross multiply
    415,814.28x = 623,715.93 × 100,268.64
  4. Step 4: Simplify right side
    415,814.28x = 62,539,148,047.44
  5. Step 5: Solve for x
    x = 62,539,148,047.44/415,814.28
  6. Step 6: Final answer
    x = 150,401.64

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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.