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Finding the Fourth Proportional to 401,831.80, 603,438.90 and 284,327.80

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Solution

The fourth proportional to 401,831.80, 603,438.90 and 284,327.80 is: 426,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,831.80 : 603,438.90 = 284,327.80 : x
  2. Step 2: Convert to fraction form
    401,831.80/603,438.90 = 284,327.80/x
  3. Step 3: Cross multiply
    401,831.80x = 603,438.90 × 284,327.80
  4. Step 4: Simplify right side
    401,831.80x = 171,574,454,871.42
  5. Step 5: Solve for x
    x = 171,574,454,871.42/401,831.80
  6. Step 6: Final answer
    x = 426,980.78

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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.