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Finding the Fourth Proportional to 811,305, 1,216,698.66 and 278,697.60

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Solution

The fourth proportional to 811,305, 1,216,698.66 and 278,697.60 is: 417,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,305 : 1,216,698.66 = 278,697.60 : x
  2. Step 2: Convert to fraction form
    811,305/1,216,698.66 = 278,697.60/x
  3. Step 3: Cross multiply
    811,305x = 1,216,698.66 × 278,697.60
  4. Step 4: Simplify right side
    811,305x = 339,090,996,465.22
  5. Step 5: Solve for x
    x = 339,090,996,465.22/811,305
  6. Step 6: Final answer
    x = 417,957.48

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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.