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Finding the Fourth Proportional to 307,567.86, 461,193.80 and 138,996.87

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Solution

The fourth proportional to 307,567.86, 461,193.80 and 138,996.87 is: 208,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,567.86 : 461,193.80 = 138,996.87 : x
  2. Step 2: Convert to fraction form
    307,567.86/461,193.80 = 138,996.87/x
  3. Step 3: Cross multiply
    307,567.86x = 461,193.80 × 138,996.87
  4. Step 4: Simplify right side
    307,567.86x = 64,104,493,968.42
  5. Step 5: Solve for x
    x = 64,104,493,968.42/307,567.86
  6. Step 6: Final answer
    x = 208,423.90

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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.