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Finding the Fourth Proportional to 390,188.40, 585,329.48 and 137,416.66

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Solution

The fourth proportional to 390,188.40, 585,329.48 and 137,416.66 is: 206,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,188.40 : 585,329.48 = 137,416.66 : x
  2. Step 2: Convert to fraction form
    390,188.40/585,329.48 = 137,416.66/x
  3. Step 3: Cross multiply
    390,188.40x = 585,329.48 × 137,416.66
  4. Step 4: Simplify right side
    390,188.40x = 80,434,022,141.14
  5. Step 5: Solve for x
    x = 80,434,022,141.14/390,188.40
  6. Step 6: Final answer
    x = 206,141.50

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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.