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Finding the Fourth Proportional to 380,683.20, 570,980.22 and 152,969.64

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Solution

The fourth proportional to 380,683.20, 570,980.22 and 152,969.64 is: 229,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,683.20 : 570,980.22 = 152,969.64 : x
  2. Step 2: Convert to fraction form
    380,683.20/570,980.22 = 152,969.64/x
  3. Step 3: Cross multiply
    380,683.20x = 570,980.22 × 152,969.64
  4. Step 4: Simplify right side
    380,683.20x = 87,342,638,700.52
  5. Step 5: Solve for x
    x = 87,342,638,700.52/380,683.20
  6. Step 6: Final answer
    x = 229,436.55

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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.