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Finding the Fourth Proportional to 384,138.80, 575,171.40 and 384,138.80

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Solution

The fourth proportional to 384,138.80, 575,171.40 and 384,138.80 is: 575,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,138.80 : 575,171.40 = 384,138.80 : x
  2. Step 2: Convert to fraction form
    384,138.80/575,171.40 = 384,138.80/x
  3. Step 3: Cross multiply
    384,138.80x = 575,171.40 × 384,138.80
  4. Step 4: Simplify right side
    384,138.80x = 220,945,651,390.32
  5. Step 5: Solve for x
    x = 220,945,651,390.32/384,138.80
  6. Step 6: Final answer
    x = 575,171.40

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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.