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Finding the Fourth Proportional to 708,796.51, 978,103.67 and 402,832.46

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Solution

The fourth proportional to 708,796.51, 978,103.67 and 402,832.46 is: 555,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,796.51 : 978,103.67 = 402,832.46 : x
  2. Step 2: Convert to fraction form
    708,796.51/978,103.67 = 402,832.46/x
  3. Step 3: Cross multiply
    708,796.51x = 978,103.67 × 402,832.46
  4. Step 4: Simplify right side
    708,796.51x = 394,011,907,952.23
  5. Step 5: Solve for x
    x = 394,011,907,952.23/708,796.51
  6. Step 6: Final answer
    x = 555,888.61

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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.