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Finding the Fourth Proportional to 491,673.86, 678,509.72 and 287,763.61

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Solution

The fourth proportional to 491,673.86, 678,509.72 and 287,763.61 is: 397,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,673.86 : 678,509.72 = 287,763.61 : x
  2. Step 2: Convert to fraction form
    491,673.86/678,509.72 = 287,763.61/x
  3. Step 3: Cross multiply
    491,673.86x = 678,509.72 × 287,763.61
  4. Step 4: Simplify right side
    491,673.86x = 195,250,406,447.29
  5. Step 5: Solve for x
    x = 195,250,406,447.29/491,673.86
  6. Step 6: Final answer
    x = 397,113.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.