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Finding the Fourth Proportional to 615,486.30, 923,315.85 and 194,718.30

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Solution

The fourth proportional to 615,486.30, 923,315.85 and 194,718.30 is: 292,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,486.30 : 923,315.85 = 194,718.30 : x
  2. Step 2: Convert to fraction form
    615,486.30/923,315.85 = 194,718.30/x
  3. Step 3: Cross multiply
    615,486.30x = 923,315.85 × 194,718.30
  4. Step 4: Simplify right side
    615,486.30x = 179,786,492,675.06
  5. Step 5: Solve for x
    x = 179,786,492,675.06/615,486.30
  6. Step 6: Final answer
    x = 292,104.78

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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.