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Finding the Fourth Proportional to 708,922.36, 978,273.94 and 402,956.20

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Solution

The fourth proportional to 708,922.36, 978,273.94 and 402,956.20 is: 556,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,922.36 : 978,273.94 = 402,956.20 : x
  2. Step 2: Convert to fraction form
    708,922.36/978,273.94 = 402,956.20/x
  3. Step 3: Cross multiply
    708,922.36x = 978,273.94 × 402,956.20
  4. Step 4: Simplify right side
    708,922.36x = 394,201,549,421.43
  5. Step 5: Solve for x
    x = 394,201,549,421.43/708,922.36
  6. Step 6: Final answer
    x = 556,057.44

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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.