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Finding the Fourth Proportional to 347,841.10, 521,761.65 and 214,288.30

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Solution

The fourth proportional to 347,841.10, 521,761.65 and 214,288.30 is: 321,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,841.10 : 521,761.65 = 214,288.30 : x
  2. Step 2: Convert to fraction form
    347,841.10/521,761.65 = 214,288.30/x
  3. Step 3: Cross multiply
    347,841.10x = 521,761.65 × 214,288.30
  4. Step 4: Simplify right side
    347,841.10x = 111,807,416,983.70
  5. Step 5: Solve for x
    x = 111,807,416,983.70/347,841.10
  6. Step 6: Final answer
    x = 321,432.45

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1.5x scale

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.