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Finding the Fourth Proportional to 375,423.67, 518,097.60 and 205,657.80

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Solution

The fourth proportional to 375,423.67, 518,097.60 and 205,657.80 is: 283,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,423.67 : 518,097.60 = 205,657.80 : x
  2. Step 2: Convert to fraction form
    375,423.67/518,097.60 = 205,657.80/x
  3. Step 3: Cross multiply
    375,423.67x = 518,097.60 × 205,657.80
  4. Step 4: Simplify right side
    375,423.67x = 106,550,810,010.79
  5. Step 5: Solve for x
    x = 106,550,810,010.79/375,423.67
  6. Step 6: Final answer
    x = 283,814.84

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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.