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Finding the Fourth Proportional to 288,762.66, 432,299.34 and 168,451.74

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Solution

The fourth proportional to 288,762.66, 432,299.34 and 168,451.74 is: 252,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,762.66 : 432,299.34 = 168,451.74 : x
  2. Step 2: Convert to fraction form
    288,762.66/432,299.34 = 168,451.74/x
  3. Step 3: Cross multiply
    288,762.66x = 432,299.34 × 168,451.74
  4. Step 4: Simplify right side
    288,762.66x = 72,821,576,023.85
  5. Step 5: Solve for x
    x = 72,821,576,023.85/288,762.66
  6. Step 6: Final answer
    x = 252,184.88

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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.