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Finding the Fourth Proportional to 475,639.83, 713,472.73 and 138,672.34

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Solution

The fourth proportional to 475,639.83, 713,472.73 and 138,672.34 is: 208,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,639.83 : 713,472.73 = 138,672.34 : x
  2. Step 2: Convert to fraction form
    475,639.83/713,472.73 = 138,672.34/x
  3. Step 3: Cross multiply
    475,639.83x = 713,472.73 × 138,672.34
  4. Step 4: Simplify right side
    475,639.83x = 98,938,929,427.92
  5. Step 5: Solve for x
    x = 98,938,929,427.92/475,639.83
  6. Step 6: Final answer
    x = 208,012.29

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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.