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Finding the Fourth Proportional to 450,325.98, 675,570.81 and 213,666.45

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Solution

The fourth proportional to 450,325.98, 675,570.81 and 213,666.45 is: 320,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,325.98 : 675,570.81 = 213,666.45 : x
  2. Step 2: Convert to fraction form
    450,325.98/675,570.81 = 213,666.45/x
  3. Step 3: Cross multiply
    450,325.98x = 675,570.81 × 213,666.45
  4. Step 4: Simplify right side
    450,325.98x = 144,346,816,696.33
  5. Step 5: Solve for x
    x = 144,346,816,696.33/450,325.98
  6. Step 6: Final answer
    x = 320,538.51

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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.