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Finding the Fourth Proportional to 645,439.22, 967,994.31 and 457,663.40

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Solution

The fourth proportional to 645,439.22, 967,994.31 and 457,663.40 is: 686,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,439.22 : 967,994.31 = 457,663.40 : x
  2. Step 2: Convert to fraction form
    645,439.22/967,994.31 = 457,663.40/x
  3. Step 3: Cross multiply
    645,439.22x = 967,994.31 × 457,663.40
  4. Step 4: Simplify right side
    645,439.22x = 443,015,567,095.25
  5. Step 5: Solve for x
    x = 443,015,567,095.25/645,439.22
  6. Step 6: Final answer
    x = 686,378.44

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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.