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Finding the Fourth Proportional to 495,429.36, 742,953.86 and 210,939.54

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Solution

The fourth proportional to 495,429.36, 742,953.86 and 210,939.54 is: 316,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,429.36 : 742,953.86 = 210,939.54 : x
  2. Step 2: Convert to fraction form
    495,429.36/742,953.86 = 210,939.54/x
  3. Step 3: Cross multiply
    495,429.36x = 742,953.86 × 210,939.54
  4. Step 4: Simplify right side
    495,429.36x = 156,718,345,469.62
  5. Step 5: Solve for x
    x = 156,718,345,469.62/495,429.36
  6. Step 6: Final answer
    x = 316,328.34

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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.