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Finding the Fourth Proportional to 430,940.80, 646,411.20 and 281,641.60

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Solution

The fourth proportional to 430,940.80, 646,411.20 and 281,641.60 is: 422,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,940.80 : 646,411.20 = 281,641.60 : x
  2. Step 2: Convert to fraction form
    430,940.80/646,411.20 = 281,641.60/x
  3. Step 3: Cross multiply
    430,940.80x = 646,411.20 × 281,641.60
  4. Step 4: Simplify right side
    430,940.80x = 182,056,284,625.92
  5. Step 5: Solve for x
    x = 182,056,284,625.92/430,940.80
  6. Step 6: Final answer
    x = 422,462.40

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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.