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Finding the Fourth Proportional to 390,184.56, 585,323.73 and 137,412.81

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Solution

The fourth proportional to 390,184.56, 585,323.73 and 137,412.81 is: 206,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,184.56 : 585,323.73 = 137,412.81 : x
  2. Step 2: Convert to fraction form
    390,184.56/585,323.73 = 137,412.81/x
  3. Step 3: Cross multiply
    390,184.56x = 585,323.73 × 137,412.81
  4. Step 4: Simplify right side
    390,184.56x = 80,430,978,498.98
  5. Step 5: Solve for x
    x = 80,430,978,498.98/390,184.56
  6. Step 6: Final answer
    x = 206,135.73

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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.