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Finding the Fourth Proportional to 656,978.50, 906,632.49 and 355,174.66

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Solution

The fourth proportional to 656,978.50, 906,632.49 and 355,174.66 is: 490,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,978.50 : 906,632.49 = 355,174.66 : x
  2. Step 2: Convert to fraction form
    656,978.50/906,632.49 = 355,174.66/x
  3. Step 3: Cross multiply
    656,978.50x = 906,632.49 × 355,174.66
  4. Step 4: Simplify right side
    656,978.50x = 322,012,886,380.70
  5. Step 5: Solve for x
    x = 322,012,886,380.70/656,978.50
  6. Step 6: Final answer
    x = 490,142.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.