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Finding the Fourth Proportional to 288,711.34, 433,059.72 and 78,343.81

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Solution

The fourth proportional to 288,711.34, 433,059.72 and 78,343.81 is: 117,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,711.34 : 433,059.72 = 78,343.81 : x
  2. Step 2: Convert to fraction form
    288,711.34/433,059.72 = 78,343.81/x
  3. Step 3: Cross multiply
    288,711.34x = 433,059.72 × 78,343.81
  4. Step 4: Simplify right side
    288,711.34x = 33,927,548,594.39
  5. Step 5: Solve for x
    x = 33,927,548,594.39/288,711.34
  6. Step 6: Final answer
    x = 117,513.74

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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.