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Finding the Fourth Proportional to 713,980.82, 985,230.78 and 407,996.48

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Solution

The fourth proportional to 713,980.82, 985,230.78 and 407,996.48 is: 562,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,980.82 : 985,230.78 = 407,996.48 : x
  2. Step 2: Convert to fraction form
    713,980.82/985,230.78 = 407,996.48/x
  3. Step 3: Cross multiply
    713,980.82x = 985,230.78 × 407,996.48
  4. Step 4: Simplify right side
    713,980.82x = 401,970,690,227.65
  5. Step 5: Solve for x
    x = 401,970,690,227.65/713,980.82
  6. Step 6: Final answer
    x = 562,999.28

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1.5x scale

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.