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Finding the Fourth Proportional to 299,543.90, 413,336.58 and 172,260.50

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Solution

The fourth proportional to 299,543.90, 413,336.58 and 172,260.50 is: 237,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,543.90 : 413,336.58 = 172,260.50 : x
  2. Step 2: Convert to fraction form
    299,543.90/413,336.58 = 172,260.50/x
  3. Step 3: Cross multiply
    299,543.90x = 413,336.58 × 172,260.50
  4. Step 4: Simplify right side
    299,543.90x = 71,201,565,939.09
  5. Step 5: Solve for x
    x = 71,201,565,939.09/299,543.90
  6. Step 6: Final answer
    x = 237,699.94

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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.