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Finding the Fourth Proportional to 285,954.30, 429,150.42 and 205,953.84

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Solution

The fourth proportional to 285,954.30, 429,150.42 and 205,953.84 is: 309,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,954.30 : 429,150.42 = 205,953.84 : x
  2. Step 2: Convert to fraction form
    285,954.30/429,150.42 = 205,953.84/x
  3. Step 3: Cross multiply
    285,954.30x = 429,150.42 × 205,953.84
  4. Step 4: Simplify right side
    285,954.30x = 88,385,176,936.61
  5. Step 5: Solve for x
    x = 88,385,176,936.61/285,954.30
  6. Step 6: Final answer
    x = 309,088.47

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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.