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Finding the Fourth Proportional to 289,213.72, 433,807.80 and 78,851.68

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Solution

The fourth proportional to 289,213.72, 433,807.80 and 78,851.68 is: 118,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,213.72 : 433,807.80 = 78,851.68 : x
  2. Step 2: Convert to fraction form
    289,213.72/433,807.80 = 78,851.68/x
  3. Step 3: Cross multiply
    289,213.72x = 433,807.80 × 78,851.68
  4. Step 4: Simplify right side
    289,213.72x = 34,206,473,827.10
  5. Step 5: Solve for x
    x = 34,206,473,827.10/289,213.72
  6. Step 6: Final answer
    x = 118,274.04

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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.