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Finding the Fourth Proportional to 318,896.03, 478,344.65 and 299,409.86

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Solution

The fourth proportional to 318,896.03, 478,344.65 and 299,409.86 is: 449,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,896.03 : 478,344.65 = 299,409.86 : x
  2. Step 2: Convert to fraction form
    318,896.03/478,344.65 = 299,409.86/x
  3. Step 3: Cross multiply
    318,896.03x = 478,344.65 × 299,409.86
  4. Step 4: Simplify right side
    318,896.03x = 143,221,104,688.25
  5. Step 5: Solve for x
    x = 143,221,104,688.25/318,896.03
  6. Step 6: Final answer
    x = 449,115.36

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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.