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Finding the Fourth Proportional to 310,362, 428,299.62 and 176,226

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Solution

The fourth proportional to 310,362, 428,299.62 and 176,226 is: 243,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,362 : 428,299.62 = 176,226 : x
  2. Step 2: Convert to fraction form
    310,362/428,299.62 = 176,226/x
  3. Step 3: Cross multiply
    310,362x = 428,299.62 × 176,226
  4. Step 4: Simplify right side
    310,362x = 75,477,528,834.12
  5. Step 5: Solve for x
    x = 75,477,528,834.12/310,362
  6. Step 6: Final answer
    x = 243,191.91

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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.