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Finding the Fourth Proportional to 320,063.14, 480,396 and 162,404.74

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Solution

The fourth proportional to 320,063.14, 480,396 and 162,404.74 is: 243,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,063.14 : 480,396 = 162,404.74 : x
  2. Step 2: Convert to fraction form
    320,063.14/480,396 = 162,404.74/x
  3. Step 3: Cross multiply
    320,063.14x = 480,396 × 162,404.74
  4. Step 4: Simplify right side
    320,063.14x = 78,018,587,477.04
  5. Step 5: Solve for x
    x = 78,018,587,477.04/320,063.14
  6. Step 6: Final answer
    x = 243,759.99

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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.