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Finding the Fourth Proportional to 368,851.92, 509,010.72 and 207,722.88

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Solution

The fourth proportional to 368,851.92, 509,010.72 and 207,722.88 is: 286,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,851.92 : 509,010.72 = 207,722.88 : x
  2. Step 2: Convert to fraction form
    368,851.92/509,010.72 = 207,722.88/x
  3. Step 3: Cross multiply
    368,851.92x = 509,010.72 × 207,722.88
  4. Step 4: Simplify right side
    368,851.92x = 105,733,172,709.27
  5. Step 5: Solve for x
    x = 105,733,172,709.27/368,851.92
  6. Step 6: Final answer
    x = 286,654.80

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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.