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Finding the Fourth Proportional to 180,465.40, 270,114.90 and 140,807.80

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Solution

The fourth proportional to 180,465.40, 270,114.90 and 140,807.80 is: 210,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,465.40 : 270,114.90 = 140,807.80 : x
  2. Step 2: Convert to fraction form
    180,465.40/270,114.90 = 140,807.80/x
  3. Step 3: Cross multiply
    180,465.40x = 270,114.90 × 140,807.80
  4. Step 4: Simplify right side
    180,465.40x = 38,034,284,816.22
  5. Step 5: Solve for x
    x = 38,034,284,816.22/180,465.40
  6. Step 6: Final answer
    x = 210,756.66

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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.