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Finding the Fourth Proportional to 375,342, 517,973.34 and 203,260.04

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Solution

The fourth proportional to 375,342, 517,973.34 and 203,260.04 is: 280,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,342 : 517,973.34 = 203,260.04 : x
  2. Step 2: Convert to fraction form
    375,342/517,973.34 = 203,260.04/x
  3. Step 3: Cross multiply
    375,342x = 517,973.34 × 203,260.04
  4. Step 4: Simplify right side
    375,342x = 105,283,281,807.33
  5. Step 5: Solve for x
    x = 105,283,281,807.33/375,342
  6. Step 6: Final answer
    x = 280,499.60

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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.