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Finding the Fourth Proportional to 368,792.64, 553,284 and 200,269.71

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Solution

The fourth proportional to 368,792.64, 553,284 and 200,269.71 is: 300,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,792.64 : 553,284 = 200,269.71 : x
  2. Step 2: Convert to fraction form
    368,792.64/553,284 = 200,269.71/x
  3. Step 3: Cross multiply
    368,792.64x = 553,284 × 200,269.71
  4. Step 4: Simplify right side
    368,792.64x = 110,806,026,227.64
  5. Step 5: Solve for x
    x = 110,806,026,227.64/368,792.64
  6. Step 6: Final answer
    x = 300,456.18

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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.