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Finding the Fourth Proportional to 291,207.90, 436,978.31 and 158,098.98

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Solution

The fourth proportional to 291,207.90, 436,978.31 and 158,098.98 is: 237,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,207.90 : 436,978.31 = 158,098.98 : x
  2. Step 2: Convert to fraction form
    291,207.90/436,978.31 = 158,098.98/x
  3. Step 3: Cross multiply
    291,207.90x = 436,978.31 × 158,098.98
  4. Step 4: Simplify right side
    291,207.90x = 69,085,824,302.63
  5. Step 5: Solve for x
    x = 69,085,824,302.63/291,207.90
  6. Step 6: Final answer
    x = 237,238.84

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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.