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Finding the Fourth Proportional to 395,384.40, 545,630.76 and 214,097.76

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Solution

The fourth proportional to 395,384.40, 545,630.76 and 214,097.76 is: 295,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,384.40 : 545,630.76 = 214,097.76 : x
  2. Step 2: Convert to fraction form
    395,384.40/545,630.76 = 214,097.76/x
  3. Step 3: Cross multiply
    395,384.40x = 545,630.76 × 214,097.76
  4. Step 4: Simplify right side
    395,384.40x = 116,818,323,503.10
  5. Step 5: Solve for x
    x = 116,818,323,503.10/395,384.40
  6. Step 6: Final answer
    x = 295,455.06

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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.