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Finding the Fourth Proportional to 708,858.78, 978,226.76 and 402,937.18

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Solution

The fourth proportional to 708,858.78, 978,226.76 and 402,937.18 is: 556,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,858.78 : 978,226.76 = 402,937.18 : x
  2. Step 2: Convert to fraction form
    708,858.78/978,226.76 = 402,937.18/x
  3. Step 3: Cross multiply
    708,858.78x = 978,226.76 × 402,937.18
  4. Step 4: Simplify right side
    708,858.78x = 394,163,932,074.94
  5. Step 5: Solve for x
    x = 394,163,932,074.94/708,858.78
  6. Step 6: Final answer
    x = 556,054.24

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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.