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Finding the Fourth Proportional to 395,314.40, 545,527.28 and 214,024.86

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Solution

The fourth proportional to 395,314.40, 545,527.28 and 214,024.86 is: 295,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,314.40 : 545,527.28 = 214,024.86 : x
  2. Step 2: Convert to fraction form
    395,314.40/545,527.28 = 214,024.86/x
  3. Step 3: Cross multiply
    395,314.40x = 545,527.28 × 214,024.86
  4. Step 4: Simplify right side
    395,314.40x = 116,756,399,728.18
  5. Step 5: Solve for x
    x = 116,756,399,728.18/395,314.40
  6. Step 6: Final answer
    x = 295,350.74

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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.