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Finding the Fourth Proportional to 307,317.78, 461,038.62 and 129,824.49

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Solution

The fourth proportional to 307,317.78, 461,038.62 and 129,824.49 is: 194,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,317.78 : 461,038.62 = 129,824.49 : x
  2. Step 2: Convert to fraction form
    307,317.78/461,038.62 = 129,824.49/x
  3. Step 3: Cross multiply
    307,317.78x = 461,038.62 × 129,824.49
  4. Step 4: Simplify right side
    307,317.78x = 59,854,103,711.80
  5. Step 5: Solve for x
    x = 59,854,103,711.80/307,317.78
  6. Step 6: Final answer
    x = 194,762.91

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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.