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Finding the Fourth Proportional to 291,420.19, 436,870.95 and 113,886.82

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Solution

The fourth proportional to 291,420.19, 436,870.95 and 113,886.82 is: 170,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,420.19 : 436,870.95 = 113,886.82 : x
  2. Step 2: Convert to fraction form
    291,420.19/436,870.95 = 113,886.82/x
  3. Step 3: Cross multiply
    291,420.19x = 436,870.95 × 113,886.82
  4. Step 4: Simplify right side
    291,420.19x = 49,753,843,245.88
  5. Step 5: Solve for x
    x = 49,753,843,245.88/291,420.19
  6. Step 6: Final answer
    x = 170,728.88

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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.