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Finding the Fourth Proportional to 360,907.56, 497,721.51 and 309,902.94

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Solution

The fourth proportional to 360,907.56, 497,721.51 and 309,902.94 is: 427,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,907.56 : 497,721.51 = 309,902.94 : x
  2. Step 2: Convert to fraction form
    360,907.56/497,721.51 = 309,902.94/x
  3. Step 3: Cross multiply
    360,907.56x = 497,721.51 × 309,902.94
  4. Step 4: Simplify right side
    360,907.56x = 154,245,359,250.24
  5. Step 5: Solve for x
    x = 154,245,359,250.24/360,907.56
  6. Step 6: Final answer
    x = 427,381.90

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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.