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Finding the Fourth Proportional to 497,215.80, 745,687.35 and 137,300.67

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Solution

The fourth proportional to 497,215.80, 745,687.35 and 137,300.67 is: 205,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,215.80 : 745,687.35 = 137,300.67 : x
  2. Step 2: Convert to fraction form
    497,215.80/745,687.35 = 137,300.67/x
  3. Step 3: Cross multiply
    497,215.80x = 745,687.35 × 137,300.67
  4. Step 4: Simplify right side
    497,215.80x = 102,383,372,765.53
  5. Step 5: Solve for x
    x = 102,383,372,765.53/497,215.80
  6. Step 6: Final answer
    x = 205,913.35

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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.