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Finding the Fourth Proportional to 288,599.76, 432,907.20 and 136,761.21

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Solution

The fourth proportional to 288,599.76, 432,907.20 and 136,761.21 is: 205,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,599.76 : 432,907.20 = 136,761.21 : x
  2. Step 2: Convert to fraction form
    288,599.76/432,907.20 = 136,761.21/x
  3. Step 3: Cross multiply
    288,599.76x = 432,907.20 × 136,761.21
  4. Step 4: Simplify right side
    288,599.76x = 59,204,912,489.71
  5. Step 5: Solve for x
    x = 59,204,912,489.71/288,599.76
  6. Step 6: Final answer
    x = 205,145.40

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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.