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Finding the Fourth Proportional to 368,072, 507,934.50 and 204,727.40

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Solution

The fourth proportional to 368,072, 507,934.50 and 204,727.40 is: 282,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,072 : 507,934.50 = 204,727.40 : x
  2. Step 2: Convert to fraction form
    368,072/507,934.50 = 204,727.40/x
  3. Step 3: Cross multiply
    368,072x = 507,934.50 × 204,727.40
  4. Step 4: Simplify right side
    368,072x = 103,988,109,555.30
  5. Step 5: Solve for x
    x = 103,988,109,555.30/368,072
  6. Step 6: Final answer
    x = 282,521.11

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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.