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Finding the Fourth Proportional to 452,406.80, 678,610.20 and 413,699.60

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Solution

The fourth proportional to 452,406.80, 678,610.20 and 413,699.60 is: 620,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,406.80 : 678,610.20 = 413,699.60 : x
  2. Step 2: Convert to fraction form
    452,406.80/678,610.20 = 413,699.60/x
  3. Step 3: Cross multiply
    452,406.80x = 678,610.20 × 413,699.60
  4. Step 4: Simplify right side
    452,406.80x = 280,740,768,295.92
  5. Step 5: Solve for x
    x = 280,740,768,295.92/452,406.80
  6. Step 6: Final answer
    x = 620,549.40

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Similar ratio
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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.