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Finding the Fourth Proportional to 329,758.40, 494,637.60 and 284,657.60

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Solution

The fourth proportional to 329,758.40, 494,637.60 and 284,657.60 is: 426,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,758.40 : 494,637.60 = 284,657.60 : x
  2. Step 2: Convert to fraction form
    329,758.40/494,637.60 = 284,657.60/x
  3. Step 3: Cross multiply
    329,758.40x = 494,637.60 × 284,657.60
  4. Step 4: Simplify right side
    329,758.40x = 140,802,352,085.76
  5. Step 5: Solve for x
    x = 140,802,352,085.76/329,758.40
  6. Step 6: Final answer
    x = 426,986.40

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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.