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Finding the Fourth Proportional to 287,700.52, 431,550.78 and 100,765.48

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Solution

The fourth proportional to 287,700.52, 431,550.78 and 100,765.48 is: 151,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,700.52 : 431,550.78 = 100,765.48 : x
  2. Step 2: Convert to fraction form
    287,700.52/431,550.78 = 100,765.48/x
  3. Step 3: Cross multiply
    287,700.52x = 431,550.78 × 100,765.48
  4. Step 4: Simplify right side
    287,700.52x = 43,485,421,491.07
  5. Step 5: Solve for x
    x = 43,485,421,491.07/287,700.52
  6. Step 6: Final answer
    x = 151,148.22

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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.