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Finding the Fourth Proportional to 291,215.80, 436,823.70 and 278,512.98

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Solution

The fourth proportional to 291,215.80, 436,823.70 and 278,512.98 is: 417,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,215.80 : 436,823.70 = 278,512.98 : x
  2. Step 2: Convert to fraction form
    291,215.80/436,823.70 = 278,512.98/x
  3. Step 3: Cross multiply
    291,215.80x = 436,823.70 × 278,512.98
  4. Step 4: Simplify right side
    291,215.80x = 121,661,070,421.63
  5. Step 5: Solve for x
    x = 121,661,070,421.63/291,215.80
  6. Step 6: Final answer
    x = 417,769.47

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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.