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Finding the Fourth Proportional to 395,642.55, 545,985.99 and 214,359.11

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Solution

The fourth proportional to 395,642.55, 545,985.99 and 214,359.11 is: 295,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,642.55 : 545,985.99 = 214,359.11 : x
  2. Step 2: Convert to fraction form
    395,642.55/545,985.99 = 214,359.11/x
  3. Step 3: Cross multiply
    395,642.55x = 545,985.99 × 214,359.11
  4. Step 4: Simplify right side
    395,642.55x = 117,037,068,158.94
  5. Step 5: Solve for x
    x = 117,037,068,158.94/395,642.55
  6. Step 6: Final answer
    x = 295,815.17

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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.