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Finding the Fourth Proportional to 507,268.36, 700,045.50 and 280,909

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Solution

The fourth proportional to 507,268.36, 700,045.50 and 280,909 is: 387,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,268.36 : 700,045.50 = 280,909 : x
  2. Step 2: Convert to fraction form
    507,268.36/700,045.50 = 280,909/x
  3. Step 3: Cross multiply
    507,268.36x = 700,045.50 × 280,909
  4. Step 4: Simplify right side
    507,268.36x = 196,649,081,359.50
  5. Step 5: Solve for x
    x = 196,649,081,359.50/507,268.36
  6. Step 6: Final answer
    x = 387,662.82

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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.