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Finding the Fourth Proportional to 375,528.80, 518,229.96 and 205,762.88

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Solution

The fourth proportional to 375,528.80, 518,229.96 and 205,762.88 is: 283,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,528.80 : 518,229.96 = 205,762.88 : x
  2. Step 2: Convert to fraction form
    375,528.80/518,229.96 = 205,762.88/x
  3. Step 3: Cross multiply
    375,528.80x = 518,229.96 × 205,762.88
  4. Step 4: Simplify right side
    375,528.80x = 106,632,489,071.89
  5. Step 5: Solve for x
    x = 106,632,489,071.89/375,528.80
  6. Step 6: Final answer
    x = 283,952.89

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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.