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Finding the Fourth Proportional to 645,443.40, 968,430 and 285,424.32

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Solution

The fourth proportional to 645,443.40, 968,430 and 285,424.32 is: 428,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,443.40 : 968,430 = 285,424.32 : x
  2. Step 2: Convert to fraction form
    645,443.40/968,430 = 285,424.32/x
  3. Step 3: Cross multiply
    645,443.40x = 968,430 × 285,424.32
  4. Step 4: Simplify right side
    645,443.40x = 276,413,474,217.60
  5. Step 5: Solve for x
    x = 276,413,474,217.60/645,443.40
  6. Step 6: Final answer
    x = 428,253.62

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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.