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Finding the Fourth Proportional to 280,008.18, 420,010.47 and 167,720.31

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Solution

The fourth proportional to 280,008.18, 420,010.47 and 167,720.31 is: 251,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,008.18 : 420,010.47 = 167,720.31 : x
  2. Step 2: Convert to fraction form
    280,008.18/420,010.47 = 167,720.31/x
  3. Step 3: Cross multiply
    280,008.18x = 420,010.47 × 167,720.31
  4. Step 4: Simplify right side
    280,008.18x = 70,444,286,231.65
  5. Step 5: Solve for x
    x = 70,444,286,231.65/280,008.18
  6. Step 6: Final answer
    x = 251,579.39

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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.