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Finding the Fourth Proportional to 391,412.50, 540,149.61 and 212,564.50

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Solution

The fourth proportional to 391,412.50, 540,149.61 and 212,564.50 is: 293,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,412.50 : 540,149.61 = 212,564.50 : x
  2. Step 2: Convert to fraction form
    391,412.50/540,149.61 = 212,564.50/x
  3. Step 3: Cross multiply
    391,412.50x = 540,149.61 × 212,564.50
  4. Step 4: Simplify right side
    391,412.50x = 114,816,631,774.85
  5. Step 5: Solve for x
    x = 114,816,631,774.85/391,412.50
  6. Step 6: Final answer
    x = 293,339.21

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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.