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Finding the Fourth Proportional to 648,082.40, 972,123.60 and 382,361.90

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Solution

The fourth proportional to 648,082.40, 972,123.60 and 382,361.90 is: 573,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,082.40 : 972,123.60 = 382,361.90 : x
  2. Step 2: Convert to fraction form
    648,082.40/972,123.60 = 382,361.90/x
  3. Step 3: Cross multiply
    648,082.40x = 972,123.60 × 382,361.90
  4. Step 4: Simplify right side
    648,082.40x = 371,703,026,730.84
  5. Step 5: Solve for x
    x = 371,703,026,730.84/648,082.40
  6. Step 6: Final answer
    x = 573,542.85

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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.