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Finding the Fourth Proportional to 368,830.73, 509,034.92 and 207,717.28

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Solution

The fourth proportional to 368,830.73, 509,034.92 and 207,717.28 is: 286,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,830.73 : 509,034.92 = 207,717.28 : x
  2. Step 2: Convert to fraction form
    368,830.73/509,034.92 = 207,717.28/x
  3. Step 3: Cross multiply
    368,830.73x = 509,034.92 × 207,717.28
  4. Step 4: Simplify right side
    368,830.73x = 105,735,346,696.24
  5. Step 5: Solve for x
    x = 105,735,346,696.24/368,830.73
  6. Step 6: Final answer
    x = 286,677.16

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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.