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Finding the Fourth Proportional to 659,649.85, 910,318.54 and 357,843.85

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Solution

The fourth proportional to 659,649.85, 910,318.54 and 357,843.85 is: 493,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,649.85 : 910,318.54 = 357,843.85 : x
  2. Step 2: Convert to fraction form
    659,649.85/910,318.54 = 357,843.85/x
  3. Step 3: Cross multiply
    659,649.85x = 910,318.54 × 357,843.85
  4. Step 4: Simplify right side
    659,649.85x = 325,751,886,528.39
  5. Step 5: Solve for x
    x = 325,751,886,528.39/659,649.85
  6. Step 6: Final answer
    x = 493,825.46

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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.