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Finding the Fourth Proportional to 391,056.45, 539,657.90 and 212,208.45

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Solution

The fourth proportional to 391,056.45, 539,657.90 and 212,208.45 is: 292,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,056.45 : 539,657.90 = 212,208.45 : x
  2. Step 2: Convert to fraction form
    391,056.45/539,657.90 = 212,208.45/x
  3. Step 3: Cross multiply
    391,056.45x = 539,657.90 × 212,208.45
  4. Step 4: Simplify right side
    391,056.45x = 114,519,966,489.26
  5. Step 5: Solve for x
    x = 114,519,966,489.26/391,056.45
  6. Step 6: Final answer
    x = 292,847.66

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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.