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Finding the Fourth Proportional to 347,785.50, 521,722.80 and 98,467.50

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Solution

The fourth proportional to 347,785.50, 521,722.80 and 98,467.50 is: 147,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,785.50 : 521,722.80 = 98,467.50 : x
  2. Step 2: Convert to fraction form
    347,785.50/521,722.80 = 98,467.50/x
  3. Step 3: Cross multiply
    347,785.50x = 521,722.80 × 98,467.50
  4. Step 4: Simplify right side
    347,785.50x = 51,372,739,809
  5. Step 5: Solve for x
    x = 51,372,739,809/347,785.50
  6. Step 6: Final answer
    x = 147,713.86

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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.