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Finding the Fourth Proportional to 288,715.92, 433,056.60 and 78,349.20

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Solution

The fourth proportional to 288,715.92, 433,056.60 and 78,349.20 is: 117,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,715.92 : 433,056.60 = 78,349.20 : x
  2. Step 2: Convert to fraction form
    288,715.92/433,056.60 = 78,349.20/x
  3. Step 3: Cross multiply
    288,715.92x = 433,056.60 × 78,349.20
  4. Step 4: Simplify right side
    288,715.92x = 33,929,638,164.72
  5. Step 5: Solve for x
    x = 33,929,638,164.72/288,715.92
  6. Step 6: Final answer
    x = 117,519.11

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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.