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Finding the Fourth Proportional to 255,322.50, 382,983.75 and 68,329.14

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Solution

The fourth proportional to 255,322.50, 382,983.75 and 68,329.14 is: 102,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,322.50 : 382,983.75 = 68,329.14 : x
  2. Step 2: Convert to fraction form
    255,322.50/382,983.75 = 68,329.14/x
  3. Step 3: Cross multiply
    255,322.50x = 382,983.75 × 68,329.14
  4. Step 4: Simplify right side
    255,322.50x = 26,168,950,271.48
  5. Step 5: Solve for x
    x = 26,168,950,271.48/255,322.50
  6. Step 6: Final answer
    x = 102,493.71

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1.5x scale

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.