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Finding the Fourth Proportional to 369,039.42, 509,276.19 and 207,897

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Solution

The fourth proportional to 369,039.42, 509,276.19 and 207,897 is: 286,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,039.42 : 509,276.19 = 207,897 : x
  2. Step 2: Convert to fraction form
    369,039.42/509,276.19 = 207,897/x
  3. Step 3: Cross multiply
    369,039.42x = 509,276.19 × 207,897
  4. Step 4: Simplify right side
    369,039.42x = 105,876,992,072.43
  5. Step 5: Solve for x
    x = 105,876,992,072.43/369,039.42
  6. Step 6: Final answer
    x = 286,898.87

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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.