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Finding the Fourth Proportional to 457,219.34, 685,802.64 and 137,364.36

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Solution

The fourth proportional to 457,219.34, 685,802.64 and 137,364.36 is: 206,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,219.34 : 685,802.64 = 137,364.36 : x
  2. Step 2: Convert to fraction form
    457,219.34/685,802.64 = 137,364.36/x
  3. Step 3: Cross multiply
    457,219.34x = 685,802.64 × 137,364.36
  4. Step 4: Simplify right side
    457,219.34x = 94,204,840,729.91
  5. Step 5: Solve for x
    x = 94,204,840,729.91/457,219.34
  6. Step 6: Final answer
    x = 206,038.62

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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.