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Finding the Fourth Proportional to 312,301.44, 431,015.04 and 185,025.60

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Solution

The fourth proportional to 312,301.44, 431,015.04 and 185,025.60 is: 255,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,301.44 : 431,015.04 = 185,025.60 : x
  2. Step 2: Convert to fraction form
    312,301.44/431,015.04 = 185,025.60/x
  3. Step 3: Cross multiply
    312,301.44x = 431,015.04 × 185,025.60
  4. Step 4: Simplify right side
    312,301.44x = 79,748,816,385.02
  5. Step 5: Solve for x
    x = 79,748,816,385.02/312,301.44
  6. Step 6: Final answer
    x = 255,358.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.