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Finding the Fourth Proportional to 288,715.42, 433,073.35 and 78,353.36

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Solution

The fourth proportional to 288,715.42, 433,073.35 and 78,353.36 is: 117,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,715.42 : 433,073.35 = 78,353.36 : x
  2. Step 2: Convert to fraction form
    288,715.42/433,073.35 = 78,353.36/x
  3. Step 3: Cross multiply
    288,715.42x = 433,073.35 × 78,353.36
  4. Step 4: Simplify right side
    288,715.42x = 33,932,751,655.56
  5. Step 5: Solve for x
    x = 33,932,751,655.56/288,715.42
  6. Step 6: Final answer
    x = 117,530.10

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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.