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Finding the Fourth Proportional to 390,573.39, 585,740.15 and 137,794.77

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Solution

The fourth proportional to 390,573.39, 585,740.15 and 137,794.77 is: 206,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,573.39 : 585,740.15 = 137,794.77 : x
  2. Step 2: Convert to fraction form
    390,573.39/585,740.15 = 137,794.77/x
  3. Step 3: Cross multiply
    390,573.39x = 585,740.15 × 137,794.77
  4. Step 4: Simplify right side
    390,573.39x = 80,711,929,076.77
  5. Step 5: Solve for x
    x = 80,711,929,076.77/390,573.39
  6. Step 6: Final answer
    x = 206,649.84

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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.