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Finding the Fourth Proportional to 288,043.20, 432,064.80 and 272,491.20

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Solution

The fourth proportional to 288,043.20, 432,064.80 and 272,491.20 is: 408,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,043.20 : 432,064.80 = 272,491.20 : x
  2. Step 2: Convert to fraction form
    288,043.20/432,064.80 = 272,491.20/x
  3. Step 3: Cross multiply
    288,043.20x = 432,064.80 × 272,491.20
  4. Step 4: Simplify right side
    288,043.20x = 117,733,855,829.76
  5. Step 5: Solve for x
    x = 117,733,855,829.76/288,043.20
  6. Step 6: Final answer
    x = 408,736.80

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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.