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Finding the Fourth Proportional to 455,986.68, 683,978.64 and 320,492.92

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Solution

The fourth proportional to 455,986.68, 683,978.64 and 320,492.92 is: 480,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,986.68 : 683,978.64 = 320,492.92 : x
  2. Step 2: Convert to fraction form
    455,986.68/683,978.64 = 320,492.92/x
  3. Step 3: Cross multiply
    455,986.68x = 683,978.64 × 320,492.92
  4. Step 4: Simplify right side
    455,986.68x = 219,210,311,551.23
  5. Step 5: Solve for x
    x = 219,210,311,551.23/455,986.68
  6. Step 6: Final answer
    x = 480,738.41

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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.