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Finding the Fourth Proportional to 656,825.14, 906,419.73 and 355,019.14

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Solution

The fourth proportional to 656,825.14, 906,419.73 and 355,019.14 is: 489,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,825.14 : 906,419.73 = 355,019.14 : x
  2. Step 2: Convert to fraction form
    656,825.14/906,419.73 = 355,019.14/x
  3. Step 3: Cross multiply
    656,825.14x = 906,419.73 × 355,019.14
  4. Step 4: Simplify right side
    656,825.14x = 321,796,353,023.63
  5. Step 5: Solve for x
    x = 321,796,353,023.63/656,825.14
  6. Step 6: Final answer
    x = 489,926.97

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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.