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Finding the Fourth Proportional to 413,918.10, 620,877.15 and 307,629.90

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Solution

The fourth proportional to 413,918.10, 620,877.15 and 307,629.90 is: 461,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,918.10 : 620,877.15 = 307,629.90 : x
  2. Step 2: Convert to fraction form
    413,918.10/620,877.15 = 307,629.90/x
  3. Step 3: Cross multiply
    413,918.10x = 620,877.15 × 307,629.90
  4. Step 4: Simplify right side
    413,918.10x = 191,000,375,566.79
  5. Step 5: Solve for x
    x = 191,000,375,566.79/413,918.10
  6. Step 6: Final answer
    x = 461,444.85

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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.