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Finding the Fourth Proportional to 380,506.40, 570,797.36 and 140,683.12

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Solution

The fourth proportional to 380,506.40, 570,797.36 and 140,683.12 is: 211,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,506.40 : 570,797.36 = 140,683.12 : x
  2. Step 2: Convert to fraction form
    380,506.40/570,797.36 = 140,683.12/x
  3. Step 3: Cross multiply
    380,506.40x = 570,797.36 × 140,683.12
  4. Step 4: Simplify right side
    380,506.40x = 80,301,553,492.56
  5. Step 5: Solve for x
    x = 80,301,553,492.56/380,506.40
  6. Step 6: Final answer
    x = 211,038.64

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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.