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Finding the Fourth Proportional to 447,187.68, 617,513.76 and 304,289.10

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Solution

The fourth proportional to 447,187.68, 617,513.76 and 304,289.10 is: 420,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,187.68 : 617,513.76 = 304,289.10 : x
  2. Step 2: Convert to fraction form
    447,187.68/617,513.76 = 304,289.10/x
  3. Step 3: Cross multiply
    447,187.68x = 617,513.76 × 304,289.10
  4. Step 4: Simplify right side
    447,187.68x = 187,902,706,268.02
  5. Step 5: Solve for x
    x = 187,902,706,268.02/447,187.68
  6. Step 6: Final answer
    x = 420,187.57

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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.