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Finding the Fourth Proportional to 347,335.76, 479,349.12 and 194,389.28

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Solution

The fourth proportional to 347,335.76, 479,349.12 and 194,389.28 is: 268,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,335.76 : 479,349.12 = 194,389.28 : x
  2. Step 2: Convert to fraction form
    347,335.76/479,349.12 = 194,389.28/x
  3. Step 3: Cross multiply
    347,335.76x = 479,349.12 × 194,389.28
  4. Step 4: Simplify right side
    347,335.76x = 93,180,330,305.43
  5. Step 5: Solve for x
    x = 93,180,330,305.43/347,335.76
  6. Step 6: Final answer
    x = 268,271.63

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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.