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Finding the Fourth Proportional to 475,858.12, 656,739.08 and 284,871.46

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Solution

The fourth proportional to 475,858.12, 656,739.08 and 284,871.46 is: 393,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,858.12 : 656,739.08 = 284,871.46 : x
  2. Step 2: Convert to fraction form
    475,858.12/656,739.08 = 284,871.46/x
  3. Step 3: Cross multiply
    475,858.12x = 656,739.08 × 284,871.46
  4. Step 4: Simplify right side
    475,858.12x = 187,086,220,558.66
  5. Step 5: Solve for x
    x = 187,086,220,558.66/475,858.12
  6. Step 6: Final answer
    x = 393,155.47

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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.