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Finding the Fourth Proportional to 708,924.88, 978,277.94 and 402,958.80

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Solution

The fourth proportional to 708,924.88, 978,277.94 and 402,958.80 is: 556,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,924.88 : 978,277.94 = 402,958.80 : x
  2. Step 2: Convert to fraction form
    708,924.88/978,277.94 = 402,958.80/x
  3. Step 3: Cross multiply
    708,924.88x = 978,277.94 × 402,958.80
  4. Step 4: Simplify right side
    708,924.88x = 394,205,704,768.87
  5. Step 5: Solve for x
    x = 394,205,704,768.87/708,924.88
  6. Step 6: Final answer
    x = 556,061.32

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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.