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Finding the Fourth Proportional to 288,682.64, 432,972.88 and 78,336.96

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Solution

The fourth proportional to 288,682.64, 432,972.88 and 78,336.96 is: 117,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,682.64 : 432,972.88 = 78,336.96 : x
  2. Step 2: Convert to fraction form
    288,682.64/432,972.88 = 78,336.96/x
  3. Step 3: Cross multiply
    288,682.64x = 432,972.88 × 78,336.96
  4. Step 4: Simplify right side
    288,682.64x = 33,917,779,181.64
  5. Step 5: Solve for x
    x = 33,917,779,181.64/288,682.64
  6. Step 6: Final answer
    x = 117,491.58

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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.