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Finding the Fourth Proportional to 316,489.29, 474,405.89 and 197,888.28

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Solution

The fourth proportional to 316,489.29, 474,405.89 and 197,888.28 is: 296,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,489.29 : 474,405.89 = 197,888.28 : x
  2. Step 2: Convert to fraction form
    316,489.29/474,405.89 = 197,888.28/x
  3. Step 3: Cross multiply
    316,489.29x = 474,405.89 × 197,888.28
  4. Step 4: Simplify right side
    316,489.29x = 93,879,364,604.53
  5. Step 5: Solve for x
    x = 93,879,364,604.53/316,489.29
  6. Step 6: Final answer
    x = 296,627.30

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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.