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Finding the Fourth Proportional to 708,924.47, 978,147.56 and 402,976.84

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Solution

The fourth proportional to 708,924.47, 978,147.56 and 402,976.84 is: 556,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,924.47 : 978,147.56 = 402,976.84 : x
  2. Step 2: Convert to fraction form
    708,924.47/978,147.56 = 402,976.84/x
  3. Step 3: Cross multiply
    708,924.47x = 978,147.56 × 402,976.84
  4. Step 4: Simplify right side
    708,924.47x = 394,170,807,891.77
  5. Step 5: Solve for x
    x = 394,170,807,891.77/708,924.47
  6. Step 6: Final answer
    x = 556,012.42

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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.