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Finding the Fourth Proportional to 380,508.40, 570,800.36 and 140,685.12

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Solution

The fourth proportional to 380,508.40, 570,800.36 and 140,685.12 is: 211,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,508.40 : 570,800.36 = 140,685.12 : x
  2. Step 2: Convert to fraction form
    380,508.40/570,800.36 = 140,685.12/x
  3. Step 3: Cross multiply
    380,508.40x = 570,800.36 × 140,685.12
  4. Step 4: Simplify right side
    380,508.40x = 80,303,117,142.64
  5. Step 5: Solve for x
    x = 80,303,117,142.64/380,508.40
  6. Step 6: Final answer
    x = 211,041.64

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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.