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Finding the Fourth Proportional to 354,685.45, 531,728.61 and 165,047.98

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Solution

The fourth proportional to 354,685.45, 531,728.61 and 165,047.98 is: 247,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,685.45 : 531,728.61 = 165,047.98 : x
  2. Step 2: Convert to fraction form
    354,685.45/531,728.61 = 165,047.98/x
  3. Step 3: Cross multiply
    354,685.45x = 531,728.61 × 165,047.98
  4. Step 4: Simplify right side
    354,685.45x = 87,760,732,988.71
  5. Step 5: Solve for x
    x = 87,760,732,988.71/354,685.45
  6. Step 6: Final answer
    x = 247,432.57

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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.