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Finding the Fourth Proportional to 306,085.84, 459,163.68 and 81,455.52

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Solution

The fourth proportional to 306,085.84, 459,163.68 and 81,455.52 is: 122,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,085.84 : 459,163.68 = 81,455.52 : x
  2. Step 2: Convert to fraction form
    306,085.84/459,163.68 = 81,455.52/x
  3. Step 3: Cross multiply
    306,085.84x = 459,163.68 × 81,455.52
  4. Step 4: Simplify right side
    306,085.84x = 37,401,416,319.51
  5. Step 5: Solve for x
    x = 37,401,416,319.51/306,085.84
  6. Step 6: Final answer
    x = 122,192.57

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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.