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Finding the Fourth Proportional to 500,419.63, 749,910.69 and 284,449.97

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Solution

The fourth proportional to 500,419.63, 749,910.69 and 284,449.97 is: 426,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,419.63 : 749,910.69 = 284,449.97 : x
  2. Step 2: Convert to fraction form
    500,419.63/749,910.69 = 284,449.97/x
  3. Step 3: Cross multiply
    500,419.63x = 749,910.69 × 284,449.97
  4. Step 4: Simplify right side
    500,419.63x = 213,312,075,147.96
  5. Step 5: Solve for x
    x = 213,312,075,147.96/500,419.63
  6. Step 6: Final answer
    x = 426,266.40

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1.5x scale

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.