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Finding the Fourth Proportional to 300,217.32, 450,380.54 and 142,444.30

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Solution

The fourth proportional to 300,217.32, 450,380.54 and 142,444.30 is: 213,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,217.32 : 450,380.54 = 142,444.30 : x
  2. Step 2: Convert to fraction form
    300,217.32/450,380.54 = 142,444.30/x
  3. Step 3: Cross multiply
    300,217.32x = 450,380.54 × 142,444.30
  4. Step 4: Simplify right side
    300,217.32x = 64,154,140,753.92
  5. Step 5: Solve for x
    x = 64,154,140,753.92/300,217.32
  6. Step 6: Final answer
    x = 213,692.34

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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.