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Finding the Fourth Proportional to 499,040.80, 748,658.40 and 214,730.80

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Solution

The fourth proportional to 499,040.80, 748,658.40 and 214,730.80 is: 322,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,040.80 : 748,658.40 = 214,730.80 : x
  2. Step 2: Convert to fraction form
    499,040.80/748,658.40 = 214,730.80/x
  3. Step 3: Cross multiply
    499,040.80x = 748,658.40 × 214,730.80
  4. Step 4: Simplify right side
    499,040.80x = 160,760,017,158.72
  5. Step 5: Solve for x
    x = 160,760,017,158.72/499,040.80
  6. Step 6: Final answer
    x = 322,138.02

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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.