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Finding the Fourth Proportional to 287,243.60, 431,062.20 and 100,255.10

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Solution

The fourth proportional to 287,243.60, 431,062.20 and 100,255.10 is: 150,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,243.60 : 431,062.20 = 100,255.10 : x
  2. Step 2: Convert to fraction form
    287,243.60/431,062.20 = 100,255.10/x
  3. Step 3: Cross multiply
    287,243.60x = 431,062.20 × 100,255.10
  4. Step 4: Simplify right side
    287,243.60x = 43,216,183,967.22
  5. Step 5: Solve for x
    x = 43,216,183,967.22/287,243.60
  6. Step 6: Final answer
    x = 150,451.34

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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.