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Finding the Fourth Proportional to 390,178.25, 585,314.26 and 137,406.49

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Solution

The fourth proportional to 390,178.25, 585,314.26 and 137,406.49 is: 206,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,178.25 : 585,314.26 = 137,406.49 : x
  2. Step 2: Convert to fraction form
    390,178.25/585,314.26 = 137,406.49/x
  3. Step 3: Cross multiply
    390,178.25x = 585,314.26 × 137,406.49
  4. Step 4: Simplify right side
    390,178.25x = 80,425,980,272.05
  5. Step 5: Solve for x
    x = 80,425,980,272.05/390,178.25
  6. Step 6: Final answer
    x = 206,126.25

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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.