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Finding the Fourth Proportional to 708,798.12, 978,105.90 and 402,834.09

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Solution

The fourth proportional to 708,798.12, 978,105.90 and 402,834.09 is: 555,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,798.12 : 978,105.90 = 402,834.09 : x
  2. Step 2: Convert to fraction form
    708,798.12/978,105.90 = 402,834.09/x
  3. Step 3: Cross multiply
    708,798.12x = 978,105.90 × 402,834.09
  4. Step 4: Simplify right side
    708,798.12x = 394,014,398,135.96
  5. Step 5: Solve for x
    x = 394,014,398,135.96/708,798.12
  6. Step 6: Final answer
    x = 555,890.86

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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.