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Finding the Fourth Proportional to 708,822.68, 978,138.18 and 402,858.20

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Solution

The fourth proportional to 708,822.68, 978,138.18 and 402,858.20 is: 555,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,822.68 : 978,138.18 = 402,858.20 : x
  2. Step 2: Convert to fraction form
    708,822.68/978,138.18 = 402,858.20/x
  3. Step 3: Cross multiply
    708,822.68x = 978,138.18 × 402,858.20
  4. Step 4: Simplify right side
    708,822.68x = 394,050,986,546.08
  5. Step 5: Solve for x
    x = 394,050,986,546.08/708,822.68
  6. Step 6: Final answer
    x = 555,923.22

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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.