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Finding the Fourth Proportional to 475,639.70, 713,472.54 and 138,672.21

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Solution

The fourth proportional to 475,639.70, 713,472.54 and 138,672.21 is: 208,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,639.70 : 713,472.54 = 138,672.21 : x
  2. Step 2: Convert to fraction form
    475,639.70/713,472.54 = 138,672.21/x
  3. Step 3: Cross multiply
    475,639.70x = 713,472.54 × 138,672.21
  4. Step 4: Simplify right side
    475,639.70x = 98,938,813,896.11
  5. Step 5: Solve for x
    x = 98,938,813,896.11/475,639.70
  6. Step 6: Final answer
    x = 208,012.10

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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.