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Finding the Fourth Proportional to 356,464.80, 534,778.20 and 119,831.40

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Solution

The fourth proportional to 356,464.80, 534,778.20 and 119,831.40 is: 179,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,464.80 : 534,778.20 = 119,831.40 : x
  2. Step 2: Convert to fraction form
    356,464.80/534,778.20 = 119,831.40/x
  3. Step 3: Cross multiply
    356,464.80x = 534,778.20 × 119,831.40
  4. Step 4: Simplify right side
    356,464.80x = 64,083,220,395.48
  5. Step 5: Solve for x
    x = 64,083,220,395.48/356,464.80
  6. Step 6: Final answer
    x = 179,774.33

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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.