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Finding the Fourth Proportional to 391,902.50, 540,829.77 and 213,054.50

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Solution

The fourth proportional to 391,902.50, 540,829.77 and 213,054.50 is: 294,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,902.50 : 540,829.77 = 213,054.50 : x
  2. Step 2: Convert to fraction form
    391,902.50/540,829.77 = 213,054.50/x
  3. Step 3: Cross multiply
    391,902.50x = 540,829.77 × 213,054.50
  4. Step 4: Simplify right side
    391,902.50x = 115,226,216,232.47
  5. Step 5: Solve for x
    x = 115,226,216,232.47/391,902.50
  6. Step 6: Final answer
    x = 294,017.56

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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.