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Finding the Fourth Proportional to 375,706, 518,474.40 and 205,941.28

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Solution

The fourth proportional to 375,706, 518,474.40 and 205,941.28 is: 284,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,706 : 518,474.40 = 205,941.28 : x
  2. Step 2: Convert to fraction form
    375,706/518,474.40 = 205,941.28/x
  3. Step 3: Cross multiply
    375,706x = 518,474.40 × 205,941.28
  4. Step 4: Simplify right side
    375,706x = 106,775,281,583.23
  5. Step 5: Solve for x
    x = 106,775,281,583.23/375,706
  6. Step 6: Final answer
    x = 284,199.03

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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.