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Finding the Fourth Proportional to 656,548.34, 906,036.44 and 354,742.34

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Solution

The fourth proportional to 656,548.34, 906,036.44 and 354,742.34 is: 489,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,548.34 : 906,036.44 = 354,742.34 : x
  2. Step 2: Convert to fraction form
    656,548.34/906,036.44 = 354,742.34/x
  3. Step 3: Cross multiply
    656,548.34x = 906,036.44 × 354,742.34
  4. Step 4: Simplify right side
    656,548.34x = 321,409,480,546.98
  5. Step 5: Solve for x
    x = 321,409,480,546.98/656,548.34
  6. Step 6: Final answer
    x = 489,544.28

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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.