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Finding the Fourth Proportional to 615,214.80, 922,824.36 and 299,401.20

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Solution

The fourth proportional to 615,214.80, 922,824.36 and 299,401.20 is: 449,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,214.80 : 922,824.36 = 299,401.20 : x
  2. Step 2: Convert to fraction form
    615,214.80/922,824.36 = 299,401.20/x
  3. Step 3: Cross multiply
    615,214.80x = 922,824.36 × 299,401.20
  4. Step 4: Simplify right side
    615,214.80x = 276,294,720,773.23
  5. Step 5: Solve for x
    x = 276,294,720,773.23/615,214.80
  6. Step 6: Final answer
    x = 449,102.85

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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.