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Finding the Fourth Proportional to 318,895.28, 478,343.52 and 299,409.11

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Solution

The fourth proportional to 318,895.28, 478,343.52 and 299,409.11 is: 449,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,895.28 : 478,343.52 = 299,409.11 : x
  2. Step 2: Convert to fraction form
    318,895.28/478,343.52 = 299,409.11/x
  3. Step 3: Cross multiply
    318,895.28x = 478,343.52 × 299,409.11
  4. Step 4: Simplify right side
    318,895.28x = 143,220,407,597.47
  5. Step 5: Solve for x
    x = 143,220,407,597.47/318,895.28
  6. Step 6: Final answer
    x = 449,114.23

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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.