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Finding the Fourth Proportional to 586,403.90, 809,324.40 and 371,564.08

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Solution

The fourth proportional to 586,403.90, 809,324.40 and 371,564.08 is: 512,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,403.90 : 809,324.40 = 371,564.08 : x
  2. Step 2: Convert to fraction form
    586,403.90/809,324.40 = 371,564.08/x
  3. Step 3: Cross multiply
    586,403.90x = 809,324.40 × 371,564.08
  4. Step 4: Simplify right side
    586,403.90x = 300,715,876,107.55
  5. Step 5: Solve for x
    x = 300,715,876,107.55/586,403.90
  6. Step 6: Final answer
    x = 512,813.57

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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.