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Finding the Fourth Proportional to 708,984.56, 978,409.32 and 386,693.48

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Solution

The fourth proportional to 708,984.56, 978,409.32 and 386,693.48 is: 533,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,984.56 : 978,409.32 = 386,693.48 : x
  2. Step 2: Convert to fraction form
    708,984.56/978,409.32 = 386,693.48/x
  3. Step 3: Cross multiply
    708,984.56x = 978,409.32 × 386,693.48
  4. Step 4: Simplify right side
    708,984.56x = 378,344,504,815.23
  5. Step 5: Solve for x
    x = 378,344,504,815.23/708,984.56
  6. Step 6: Final answer
    x = 533,642.80

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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.