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Finding the Fourth Proportional to 284,483.18, 426,741.18 and 106,991.72

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Solution

The fourth proportional to 284,483.18, 426,741.18 and 106,991.72 is: 160,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,483.18 : 426,741.18 = 106,991.72 : x
  2. Step 2: Convert to fraction form
    284,483.18/426,741.18 = 106,991.72/x
  3. Step 3: Cross multiply
    284,483.18x = 426,741.18 × 106,991.72
  4. Step 4: Simplify right side
    284,483.18x = 45,657,772,843.03
  5. Step 5: Solve for x
    x = 45,657,772,843.03/284,483.18
  6. Step 6: Final answer
    x = 160,493.75

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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.