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Finding the Fourth Proportional to 299,672.64, 413,567.37 and 172,345.50

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Solution

The fourth proportional to 299,672.64, 413,567.37 and 172,345.50 is: 237,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,672.64 : 413,567.37 = 172,345.50 : x
  2. Step 2: Convert to fraction form
    299,672.64/413,567.37 = 172,345.50/x
  3. Step 3: Cross multiply
    299,672.64x = 413,567.37 × 172,345.50
  4. Step 4: Simplify right side
    299,672.64x = 71,276,475,166.34
  5. Step 5: Solve for x
    x = 71,276,475,166.34/299,672.64
  6. Step 6: Final answer
    x = 237,847.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.