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Finding the Fourth Proportional to 287,878.65, 431,817.97 and 280,005.45

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Solution

The fourth proportional to 287,878.65, 431,817.97 and 280,005.45 is: 420,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,878.65 : 431,817.97 = 280,005.45 : x
  2. Step 2: Convert to fraction form
    287,878.65/431,817.97 = 280,005.45/x
  3. Step 3: Cross multiply
    287,878.65x = 431,817.97 × 280,005.45
  4. Step 4: Simplify right side
    287,878.65x = 120,911,385,007.94
  5. Step 5: Solve for x
    x = 120,911,385,007.94/287,878.65
  6. Step 6: Final answer
    x = 420,008.17

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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.