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Finding the Fourth Proportional to 395,208.50, 545,387.73 and 216,360.50

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Solution

The fourth proportional to 395,208.50, 545,387.73 and 216,360.50 is: 298,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,208.50 : 545,387.73 = 216,360.50 : x
  2. Step 2: Convert to fraction form
    395,208.50/545,387.73 = 216,360.50/x
  3. Step 3: Cross multiply
    395,208.50x = 545,387.73 × 216,360.50
  4. Step 4: Simplify right side
    395,208.50x = 118,000,361,956.67
  5. Step 5: Solve for x
    x = 118,000,361,956.67/395,208.50
  6. Step 6: Final answer
    x = 298,577.49

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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.