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Finding the Fourth Proportional to 390,057.86, 585,086.79 and 137,278.82

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Solution

The fourth proportional to 390,057.86, 585,086.79 and 137,278.82 is: 205,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057.86 : 585,086.79 = 137,278.82 : x
  2. Step 2: Convert to fraction form
    390,057.86/585,086.79 = 137,278.82/x
  3. Step 3: Cross multiply
    390,057.86x = 585,086.79 × 137,278.82
  4. Step 4: Simplify right side
    390,057.86x = 80,320,024,128.79
  5. Step 5: Solve for x
    x = 80,320,024,128.79/390,057.86
  6. Step 6: Final answer
    x = 205,918.23

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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.