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Finding the Fourth Proportional to 255,462.80, 382,898.54 and 120,612.38

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Solution

The fourth proportional to 255,462.80, 382,898.54 and 120,612.38 is: 180,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,462.80 : 382,898.54 = 120,612.38 : x
  2. Step 2: Convert to fraction form
    255,462.80/382,898.54 = 120,612.38/x
  3. Step 3: Cross multiply
    255,462.80x = 382,898.54 × 120,612.38
  4. Step 4: Simplify right side
    255,462.80x = 46,182,304,207.93
  5. Step 5: Solve for x
    x = 46,182,304,207.93/255,462.80
  6. Step 6: Final answer
    x = 180,778.98

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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.