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Finding the Fourth Proportional to 511,703.79, 767,322.41 and 301,401.87

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Solution

The fourth proportional to 511,703.79, 767,322.41 and 301,401.87 is: 451,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,703.79 : 767,322.41 = 301,401.87 : x
  2. Step 2: Convert to fraction form
    511,703.79/767,322.41 = 301,401.87/x
  3. Step 3: Cross multiply
    511,703.79x = 767,322.41 × 301,401.87
  4. Step 4: Simplify right side
    511,703.79x = 231,272,407,759.90
  5. Step 5: Solve for x
    x = 231,272,407,759.90/511,703.79
  6. Step 6: Final answer
    x = 451,965.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.