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Finding the Fourth Proportional to 527,361.48, 727,721.06 and 309,579

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Solution

The fourth proportional to 527,361.48, 727,721.06 and 309,579 is: 427,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,361.48 : 727,721.06 = 309,579 : x
  2. Step 2: Convert to fraction form
    527,361.48/727,721.06 = 309,579/x
  3. Step 3: Cross multiply
    527,361.48x = 727,721.06 × 309,579
  4. Step 4: Simplify right side
    527,361.48x = 225,287,156,485.85
  5. Step 5: Solve for x
    x = 225,287,156,485.85/527,361.48
  6. Step 6: Final answer
    x = 427,196.84

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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.