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Finding the Fourth Proportional to 288,543.40, 432,815.10 and 274,765.30

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Solution

The fourth proportional to 288,543.40, 432,815.10 and 274,765.30 is: 412,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,543.40 : 432,815.10 = 274,765.30 : x
  2. Step 2: Convert to fraction form
    288,543.40/432,815.10 = 274,765.30/x
  3. Step 3: Cross multiply
    288,543.40x = 432,815.10 × 274,765.30
  4. Step 4: Simplify right side
    288,543.40x = 118,922,570,796.03
  5. Step 5: Solve for x
    x = 118,922,570,796.03/288,543.40
  6. Step 6: Final answer
    x = 412,147.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.