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Finding the Fourth Proportional to 353,285.09, 530,102.90 and 140,048.49

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Solution

The fourth proportional to 353,285.09, 530,102.90 and 140,048.49 is: 210,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,285.09 : 530,102.90 = 140,048.49 : x
  2. Step 2: Convert to fraction form
    353,285.09/530,102.90 = 140,048.49/x
  3. Step 3: Cross multiply
    353,285.09x = 530,102.90 × 140,048.49
  4. Step 4: Simplify right side
    353,285.09x = 74,240,110,689.62
  5. Step 5: Solve for x
    x = 74,240,110,689.62/353,285.09
  6. Step 6: Final answer
    x = 210,142.21

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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.