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Finding the Fourth Proportional to 287,574.20, 431,553.24 and 100,585.68

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Solution

The fourth proportional to 287,574.20, 431,553.24 and 100,585.68 is: 150,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,574.20 : 431,553.24 = 100,585.68 : x
  2. Step 2: Convert to fraction form
    287,574.20/431,553.24 = 100,585.68/x
  3. Step 3: Cross multiply
    287,574.20x = 431,553.24 × 100,585.68
  4. Step 4: Simplify right side
    287,574.20x = 43,408,076,101.60
  5. Step 5: Solve for x
    x = 43,408,076,101.60/287,574.20
  6. Step 6: Final answer
    x = 150,945.66

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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.