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Finding the Fourth Proportional to 258,797, 357,145.32 and 145,619.76

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Solution

The fourth proportional to 258,797, 357,145.32 and 145,619.76 is: 200,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,797 : 357,145.32 = 145,619.76 : x
  2. Step 2: Convert to fraction form
    258,797/357,145.32 = 145,619.76/x
  3. Step 3: Cross multiply
    258,797x = 357,145.32 × 145,619.76
  4. Step 4: Simplify right side
    258,797x = 52,007,415,783.52
  5. Step 5: Solve for x
    x = 52,007,415,783.52/258,797
  6. Step 6: Final answer
    x = 200,958.34

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1.5x scale

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.