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Finding the Fourth Proportional to 309,779.79, 463,919.40 and 157,576.44

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Solution

The fourth proportional to 309,779.79, 463,919.40 and 157,576.44 is: 235,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,779.79 : 463,919.40 = 157,576.44 : x
  2. Step 2: Convert to fraction form
    309,779.79/463,919.40 = 157,576.44/x
  3. Step 3: Cross multiply
    309,779.79x = 463,919.40 × 157,576.44
  4. Step 4: Simplify right side
    309,779.79x = 73,102,766,629.09
  5. Step 5: Solve for x
    x = 73,102,766,629.09/309,779.79
  6. Step 6: Final answer
    x = 235,983.01

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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.