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Finding the Fourth Proportional to 415,996.80, 623,995.20 and 256,329.60

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Solution

The fourth proportional to 415,996.80, 623,995.20 and 256,329.60 is: 384,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,996.80 : 623,995.20 = 256,329.60 : x
  2. Step 2: Convert to fraction form
    415,996.80/623,995.20 = 256,329.60/x
  3. Step 3: Cross multiply
    415,996.80x = 623,995.20 × 256,329.60
  4. Step 4: Simplify right side
    415,996.80x = 159,948,440,017.92
  5. Step 5: Solve for x
    x = 159,948,440,017.92/415,996.80
  6. Step 6: Final answer
    x = 384,494.40

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1.5x scale

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.