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Finding the Fourth Proportional to 347,272.80, 520,909.20 and 305,800.80

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Solution

The fourth proportional to 347,272.80, 520,909.20 and 305,800.80 is: 458,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,272.80 : 520,909.20 = 305,800.80 : x
  2. Step 2: Convert to fraction form
    347,272.80/520,909.20 = 305,800.80/x
  3. Step 3: Cross multiply
    347,272.80x = 520,909.20 × 305,800.80
  4. Step 4: Simplify right side
    347,272.80x = 159,294,450,087.36
  5. Step 5: Solve for x
    x = 159,294,450,087.36/347,272.80
  6. Step 6: Final answer
    x = 458,701.20

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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.