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Finding the Fourth Proportional to 626,142.80, 939,126.36 and 205,364

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Solution

The fourth proportional to 626,142.80, 939,126.36 and 205,364 is: 308,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,142.80 : 939,126.36 = 205,364 : x
  2. Step 2: Convert to fraction form
    626,142.80/939,126.36 = 205,364/x
  3. Step 3: Cross multiply
    626,142.80x = 939,126.36 × 205,364
  4. Step 4: Simplify right side
    626,142.80x = 192,862,745,795.04
  5. Step 5: Solve for x
    x = 192,862,745,795.04/626,142.80
  6. Step 6: Final answer
    x = 308,017.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.