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Finding the Fourth Proportional to 431,501.09, 646,464.31 and 240,969.65

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Solution

The fourth proportional to 431,501.09, 646,464.31 and 240,969.65 is: 361,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,501.09 : 646,464.31 = 240,969.65 : x
  2. Step 2: Convert to fraction form
    431,501.09/646,464.31 = 240,969.65/x
  3. Step 3: Cross multiply
    431,501.09x = 646,464.31 × 240,969.65
  4. Step 4: Simplify right side
    431,501.09x = 155,778,274,683.45
  5. Step 5: Solve for x
    x = 155,778,274,683.45/431,501.09
  6. Step 6: Final answer
    x = 361,014.79

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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.