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Finding the Fourth Proportional to 288,539.40, 432,809.10 and 274,761.30

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Solution

The fourth proportional to 288,539.40, 432,809.10 and 274,761.30 is: 412,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,539.40 : 432,809.10 = 274,761.30 : x
  2. Step 2: Convert to fraction form
    288,539.40/432,809.10 = 274,761.30/x
  3. Step 3: Cross multiply
    288,539.40x = 432,809.10 × 274,761.30
  4. Step 4: Simplify right side
    288,539.40x = 118,919,190,967.83
  5. Step 5: Solve for x
    x = 118,919,190,967.83/288,539.40
  6. Step 6: Final answer
    x = 412,141.95

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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.