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Finding the Fourth Proportional to 347,999.60, 521,999.40 and 305,145.20

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Solution

The fourth proportional to 347,999.60, 521,999.40 and 305,145.20 is: 457,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,999.60 : 521,999.40 = 305,145.20 : x
  2. Step 2: Convert to fraction form
    347,999.60/521,999.40 = 305,145.20/x
  3. Step 3: Cross multiply
    347,999.60x = 521,999.40 × 305,145.20
  4. Step 4: Simplify right side
    347,999.60x = 159,285,611,312.88
  5. Step 5: Solve for x
    x = 159,285,611,312.88/347,999.60
  6. Step 6: Final answer
    x = 457,717.80

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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.