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Finding the Fourth Proportional to 708,821.68, 978,136.80 and 402,857.20

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Solution

The fourth proportional to 708,821.68, 978,136.80 and 402,857.20 is: 555,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,821.68 : 978,136.80 = 402,857.20 : x
  2. Step 2: Convert to fraction form
    708,821.68/978,136.80 = 402,857.20/x
  3. Step 3: Cross multiply
    708,821.68x = 978,136.80 × 402,857.20
  4. Step 4: Simplify right side
    708,821.68x = 394,049,452,464.96
  5. Step 5: Solve for x
    x = 394,049,452,464.96/708,821.68
  6. Step 6: Final answer
    x = 555,921.84

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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.