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Finding the Fourth Proportional to 288,717.42, 433,076.35 and 78,355.36

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Solution

The fourth proportional to 288,717.42, 433,076.35 and 78,355.36 is: 117,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,717.42 : 433,076.35 = 78,355.36 : x
  2. Step 2: Convert to fraction form
    288,717.42/433,076.35 = 78,355.36/x
  3. Step 3: Cross multiply
    288,717.42x = 433,076.35 × 78,355.36
  4. Step 4: Simplify right side
    288,717.42x = 33,933,853,311.74
  5. Step 5: Solve for x
    x = 33,933,853,311.74/288,717.42
  6. Step 6: Final answer
    x = 117,533.10

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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.