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Finding the Fourth Proportional to 289,878.51, 399,829.98 and 280,124.49

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Solution

The fourth proportional to 289,878.51, 399,829.98 and 280,124.49 is: 386,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,878.51 : 399,829.98 = 280,124.49 : x
  2. Step 2: Convert to fraction form
    289,878.51/399,829.98 = 280,124.49/x
  3. Step 3: Cross multiply
    289,878.51x = 399,829.98 × 280,124.49
  4. Step 4: Simplify right side
    289,878.51x = 112,002,169,234.21
  5. Step 5: Solve for x
    x = 112,002,169,234.21/289,878.51
  6. Step 6: Final answer
    x = 386,376.24

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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.