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Finding the Fourth Proportional to 413,697.20, 619,962.60 and 255,455.60

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Solution

The fourth proportional to 413,697.20, 619,962.60 and 255,455.60 is: 382,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,697.20 : 619,962.60 = 255,455.60 : x
  2. Step 2: Convert to fraction form
    413,697.20/619,962.60 = 255,455.60/x
  3. Step 3: Cross multiply
    413,697.20x = 619,962.60 × 255,455.60
  4. Step 4: Simplify right side
    413,697.20x = 158,372,917,960.56
  5. Step 5: Solve for x
    x = 158,372,917,960.56/413,697.20
  6. Step 6: Final answer
    x = 382,823.28

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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.