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Finding the Fourth Proportional to 390,499.83, 585,751.22 and 137,642.30

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Solution

The fourth proportional to 390,499.83, 585,751.22 and 137,642.30 is: 206,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,499.83 : 585,751.22 = 137,642.30 : x
  2. Step 2: Convert to fraction form
    390,499.83/585,751.22 = 137,642.30/x
  3. Step 3: Cross multiply
    390,499.83x = 585,751.22 × 137,642.30
  4. Step 4: Simplify right side
    390,499.83x = 80,624,144,244.36
  5. Step 5: Solve for x
    x = 80,624,144,244.36/390,499.83
  6. Step 6: Final answer
    x = 206,463.97

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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.