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Finding the Fourth Proportional to 493,639.67, 740,312.78 and 209,326.02

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Solution

The fourth proportional to 493,639.67, 740,312.78 and 209,326.02 is: 313,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,639.67 : 740,312.78 = 209,326.02 : x
  2. Step 2: Convert to fraction form
    493,639.67/740,312.78 = 209,326.02/x
  3. Step 3: Cross multiply
    493,639.67x = 740,312.78 × 209,326.02
  4. Step 4: Simplify right side
    493,639.67x = 154,966,726,745.91
  5. Step 5: Solve for x
    x = 154,966,726,745.91/493,639.67
  6. Step 6: Final answer
    x = 313,926.81

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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.