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Finding the Fourth Proportional to 260,487.69, 390,463.55 and 118,431.78

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Solution

The fourth proportional to 260,487.69, 390,463.55 and 118,431.78 is: 177,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,487.69 : 390,463.55 = 118,431.78 : x
  2. Step 2: Convert to fraction form
    260,487.69/390,463.55 = 118,431.78/x
  3. Step 3: Cross multiply
    260,487.69x = 390,463.55 × 118,431.78
  4. Step 4: Simplify right side
    260,487.69x = 46,243,293,251.62
  5. Step 5: Solve for x
    x = 46,243,293,251.62/260,487.69
  6. Step 6: Final answer
    x = 177,525.83

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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.