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Finding the Fourth Proportional to 347,643.86, 479,774.76 and 194,674.28

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Solution

The fourth proportional to 347,643.86, 479,774.76 and 194,674.28 is: 268,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,643.86 : 479,774.76 = 194,674.28 : x
  2. Step 2: Convert to fraction form
    347,643.86/479,774.76 = 194,674.28/x
  3. Step 3: Cross multiply
    347,643.86x = 479,774.76 × 194,674.28
  4. Step 4: Simplify right side
    347,643.86x = 93,399,805,965.17
  5. Step 5: Solve for x
    x = 93,399,805,965.17/347,643.86
  6. Step 6: Final answer
    x = 268,665.20

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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.