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Finding the Fourth Proportional to 289,045.60, 433,762.80 and 131,192.80

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Solution

The fourth proportional to 289,045.60, 433,762.80 and 131,192.80 is: 196,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,045.60 : 433,762.80 = 131,192.80 : x
  2. Step 2: Convert to fraction form
    289,045.60/433,762.80 = 131,192.80/x
  3. Step 3: Cross multiply
    289,045.60x = 433,762.80 × 131,192.80
  4. Step 4: Simplify right side
    289,045.60x = 56,906,556,267.84
  5. Step 5: Solve for x
    x = 56,906,556,267.84/289,045.60
  6. Step 6: Final answer
    x = 196,877.43

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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.