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Finding the Fourth Proportional to 708,798.51, 978,106.42 and 402,834.46

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Solution

The fourth proportional to 708,798.51, 978,106.42 and 402,834.46 is: 555,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,798.51 : 978,106.42 = 402,834.46 : x
  2. Step 2: Convert to fraction form
    708,798.51/978,106.42 = 402,834.46/x
  3. Step 3: Cross multiply
    708,798.51x = 978,106.42 × 402,834.46
  4. Step 4: Simplify right side
    708,798.51x = 394,014,971,523.23
  5. Step 5: Solve for x
    x = 394,014,971,523.23/708,798.51
  6. Step 6: Final answer
    x = 555,891.37

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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.