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Finding the Fourth Proportional to 347,147.69, 520,534.42 and 187,309.31

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Solution

The fourth proportional to 347,147.69, 520,534.42 and 187,309.31 is: 280,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,147.69 : 520,534.42 = 187,309.31 : x
  2. Step 2: Convert to fraction form
    347,147.69/520,534.42 = 187,309.31/x
  3. Step 3: Cross multiply
    347,147.69x = 520,534.42 × 187,309.31
  4. Step 4: Simplify right side
    347,147.69x = 97,500,939,970.50
  5. Step 5: Solve for x
    x = 97,500,939,970.50/347,147.69
  6. Step 6: Final answer
    x = 280,863.00

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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.