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Finding the Fourth Proportional to 393,296.52, 542,765.40 and 221,222.50

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Solution

The fourth proportional to 393,296.52, 542,765.40 and 221,222.50 is: 305,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,296.52 : 542,765.40 = 221,222.50 : x
  2. Step 2: Convert to fraction form
    393,296.52/542,765.40 = 221,222.50/x
  3. Step 3: Cross multiply
    393,296.52x = 542,765.40 × 221,222.50
  4. Step 4: Simplify right side
    393,296.52x = 120,071,918,701.50
  5. Step 5: Solve for x
    x = 120,071,918,701.50/393,296.52
  6. Step 6: Final answer
    x = 305,296.16

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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.