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Finding the Fourth Proportional to 368,998.71, 509,218.22 and 207,853.76

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Solution

The fourth proportional to 368,998.71, 509,218.22 and 207,853.76 is: 286,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,998.71 : 509,218.22 = 207,853.76 : x
  2. Step 2: Convert to fraction form
    368,998.71/509,218.22 = 207,853.76/x
  3. Step 3: Cross multiply
    368,998.71x = 509,218.22 × 207,853.76
  4. Step 4: Simplify right side
    368,998.71x = 105,842,921,050.98
  5. Step 5: Solve for x
    x = 105,842,921,050.98/368,998.71
  6. Step 6: Final answer
    x = 286,838.19

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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.