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Finding the Fourth Proportional to 768,304.80, 1,150,988.40 and 413,200.80

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Solution

The fourth proportional to 768,304.80, 1,150,988.40 and 413,200.80 is: 619,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,304.80 : 1,150,988.40 = 413,200.80 : x
  2. Step 2: Convert to fraction form
    768,304.80/1,150,988.40 = 413,200.80/x
  3. Step 3: Cross multiply
    768,304.80x = 1,150,988.40 × 413,200.80
  4. Step 4: Simplify right side
    768,304.80x = 475,589,327,670.72
  5. Step 5: Solve for x
    x = 475,589,327,670.72/768,304.80
  6. Step 6: Final answer
    x = 619,011.27

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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.