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Finding the Fourth Proportional to 317,135.79, 475,703.28 and 77,249.57

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Solution

The fourth proportional to 317,135.79, 475,703.28 and 77,249.57 is: 115,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,135.79 : 475,703.28 = 77,249.57 : x
  2. Step 2: Convert to fraction form
    317,135.79/475,703.28 = 77,249.57/x
  3. Step 3: Cross multiply
    317,135.79x = 475,703.28 × 77,249.57
  4. Step 4: Simplify right side
    317,135.79x = 36,747,871,449.07
  5. Step 5: Solve for x
    x = 36,747,871,449.07/317,135.79
  6. Step 6: Final answer
    x = 115,874.25

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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.