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Finding the Fourth Proportional to 329,029.92, 492,795.52 and 257,506.40

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Solution

The fourth proportional to 329,029.92, 492,795.52 and 257,506.40 is: 385,673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,029.92 : 492,795.52 = 257,506.40 : x
  2. Step 2: Convert to fraction form
    329,029.92/492,795.52 = 257,506.40/x
  3. Step 3: Cross multiply
    329,029.92x = 492,795.52 × 257,506.40
  4. Step 4: Simplify right side
    329,029.92x = 126,898,000,291.33
  5. Step 5: Solve for x
    x = 126,898,000,291.33/329,029.92
  6. Step 6: Final answer
    x = 385,673.13

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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.