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Finding the Fourth Proportional to 289,215.60, 433,564.20 and 257,722.80

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Solution

The fourth proportional to 289,215.60, 433,564.20 and 257,722.80 is: 386,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,215.60 : 433,564.20 = 257,722.80 : x
  2. Step 2: Convert to fraction form
    289,215.60/433,564.20 = 257,722.80/x
  3. Step 3: Cross multiply
    289,215.60x = 433,564.20 × 257,722.80
  4. Step 4: Simplify right side
    289,215.60x = 111,739,379,603.76
  5. Step 5: Solve for x
    x = 111,739,379,603.76/289,215.60
  6. Step 6: Final answer
    x = 386,353.22

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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.