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Finding the Fourth Proportional to 425,421.76, 587,074.50 and 231,831.20

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Solution

The fourth proportional to 425,421.76, 587,074.50 and 231,831.20 is: 319,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,421.76 : 587,074.50 = 231,831.20 : x
  2. Step 2: Convert to fraction form
    425,421.76/587,074.50 = 231,831.20/x
  3. Step 3: Cross multiply
    425,421.76x = 587,074.50 × 231,831.20
  4. Step 4: Simplify right side
    425,421.76x = 136,102,185,824.40
  5. Step 5: Solve for x
    x = 136,102,185,824.40/425,421.76
  6. Step 6: Final answer
    x = 319,922.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.