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Finding the Fourth Proportional to 545,408.62, 817,839.16 and 317,777.92

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Solution

The fourth proportional to 545,408.62, 817,839.16 and 317,777.92 is: 476,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,408.62 : 817,839.16 = 317,777.92 : x
  2. Step 2: Convert to fraction form
    545,408.62/817,839.16 = 317,777.92/x
  3. Step 3: Cross multiply
    545,408.62x = 817,839.16 × 317,777.92
  4. Step 4: Simplify right side
    545,408.62x = 259,891,227,159.35
  5. Step 5: Solve for x
    x = 259,891,227,159.35/545,408.62
  6. Step 6: Final answer
    x = 476,507.37

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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.