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Finding the Fourth Proportional to 659,765.64, 910,205.96 and 401,435.49

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Solution

The fourth proportional to 659,765.64, 910,205.96 and 401,435.49 is: 553,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,765.64 : 910,205.96 = 401,435.49 : x
  2. Step 2: Convert to fraction form
    659,765.64/910,205.96 = 401,435.49/x
  3. Step 3: Cross multiply
    659,765.64x = 910,205.96 × 401,435.49
  4. Step 4: Simplify right side
    659,765.64x = 365,388,973,546.34
  5. Step 5: Solve for x
    x = 365,388,973,546.34/659,765.64
  6. Step 6: Final answer
    x = 553,816.31

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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.