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Finding the Fourth Proportional to 291,212.80, 436,819.20 and 278,509.98

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Solution

The fourth proportional to 291,212.80, 436,819.20 and 278,509.98 is: 417,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,212.80 : 436,819.20 = 278,509.98 : x
  2. Step 2: Convert to fraction form
    291,212.80/436,819.20 = 278,509.98/x
  3. Step 3: Cross multiply
    291,212.80x = 436,819.20 × 278,509.98
  4. Step 4: Simplify right side
    291,212.80x = 121,658,506,655.62
  5. Step 5: Solve for x
    x = 121,658,506,655.62/291,212.80
  6. Step 6: Final answer
    x = 417,764.97

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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.