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Finding the Fourth Proportional to 375,454.40, 518,128.80 and 205,688

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Solution

The fourth proportional to 375,454.40, 518,128.80 and 205,688 is: 283,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,454.40 : 518,128.80 = 205,688 : x
  2. Step 2: Convert to fraction form
    375,454.40/518,128.80 = 205,688/x
  3. Step 3: Cross multiply
    375,454.40x = 518,128.80 × 205,688
  4. Step 4: Simplify right side
    375,454.40x = 106,572,876,614.40
  5. Step 5: Solve for x
    x = 106,572,876,614.40/375,454.40
  6. Step 6: Final answer
    x = 283,850.39

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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.