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Finding the Fourth Proportional to 375,673.98, 518,427.15 and 205,907.70

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Solution

The fourth proportional to 375,673.98, 518,427.15 and 205,907.70 is: 284,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,673.98 : 518,427.15 = 205,907.70 : x
  2. Step 2: Convert to fraction form
    375,673.98/518,427.15 = 205,907.70/x
  3. Step 3: Cross multiply
    375,673.98x = 518,427.15 × 205,907.70
  4. Step 4: Simplify right side
    375,673.98x = 106,748,142,074.06
  5. Step 5: Solve for x
    x = 106,748,142,074.06/375,673.98
  6. Step 6: Final answer
    x = 284,151.01

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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.