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Finding the Fourth Proportional to 452,288.25, 678,743.42 and 156,800.25

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Solution

The fourth proportional to 452,288.25, 678,743.42 and 156,800.25 is: 235,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,288.25 : 678,743.42 = 156,800.25 : x
  2. Step 2: Convert to fraction form
    452,288.25/678,743.42 = 156,800.25/x
  3. Step 3: Cross multiply
    452,288.25x = 678,743.42 × 156,800.25
  4. Step 4: Simplify right side
    452,288.25x = 106,427,137,157.85
  5. Step 5: Solve for x
    x = 106,427,137,157.85/452,288.25
  6. Step 6: Final answer
    x = 235,308.21

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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.