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Finding the Fourth Proportional to 615,176.30, 922,764.45 and 447,214.70

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Solution

The fourth proportional to 615,176.30, 922,764.45 and 447,214.70 is: 670,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,176.30 : 922,764.45 = 447,214.70 : x
  2. Step 2: Convert to fraction form
    615,176.30/922,764.45 = 447,214.70/x
  3. Step 3: Cross multiply
    615,176.30x = 922,764.45 × 447,214.70
  4. Step 4: Simplify right side
    615,176.30x = 412,673,826,677.42
  5. Step 5: Solve for x
    x = 412,673,826,677.42/615,176.30
  6. Step 6: Final answer
    x = 670,822.05

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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.