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Finding the Fourth Proportional to 347,657.47, 479,727.64 and 194,674.39

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Solution

The fourth proportional to 347,657.47, 479,727.64 and 194,674.39 is: 268,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,657.47 : 479,727.64 = 194,674.39 : x
  2. Step 2: Convert to fraction form
    347,657.47/479,727.64 = 194,674.39/x
  3. Step 3: Cross multiply
    347,657.47x = 479,727.64 × 194,674.39
  4. Step 4: Simplify right side
    347,657.47x = 93,390,685,683.14
  5. Step 5: Solve for x
    x = 93,390,685,683.14/347,657.47
  6. Step 6: Final answer
    x = 268,628.45

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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.