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Finding the Fourth Proportional to 287,798.22, 431,698.14 and 100,765.98

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Solution

The fourth proportional to 287,798.22, 431,698.14 and 100,765.98 is: 151,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,798.22 : 431,698.14 = 100,765.98 : x
  2. Step 2: Convert to fraction form
    287,798.22/431,698.14 = 100,765.98/x
  3. Step 3: Cross multiply
    287,798.22x = 431,698.14 × 100,765.98
  4. Step 4: Simplify right side
    287,798.22x = 43,500,486,141.28
  5. Step 5: Solve for x
    x = 43,500,486,141.28/287,798.22
  6. Step 6: Final answer
    x = 151,149.25

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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.