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Finding the Fourth Proportional to 291,443.34, 436,487.48 and 281,341.22

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Solution

The fourth proportional to 291,443.34, 436,487.48 and 281,341.22 is: 421,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,443.34 : 436,487.48 = 281,341.22 : x
  2. Step 2: Convert to fraction form
    291,443.34/436,487.48 = 281,341.22/x
  3. Step 3: Cross multiply
    291,443.34x = 436,487.48 × 281,341.22
  4. Step 4: Simplify right side
    291,443.34x = 122,801,918,731.22
  5. Step 5: Solve for x
    x = 122,801,918,731.22/291,443.34
  6. Step 6: Final answer
    x = 421,357.78

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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.