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Finding the Fourth Proportional to 390,069.80, 585,161.40 and 165,429.80

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Solution

The fourth proportional to 390,069.80, 585,161.40 and 165,429.80 is: 248,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,069.80 : 585,161.40 = 165,429.80 : x
  2. Step 2: Convert to fraction form
    390,069.80/585,161.40 = 165,429.80/x
  3. Step 3: Cross multiply
    390,069.80x = 585,161.40 × 165,429.80
  4. Step 4: Simplify right side
    390,069.80x = 96,803,133,369.72
  5. Step 5: Solve for x
    x = 96,803,133,369.72/390,069.80
  6. Step 6: Final answer
    x = 248,168.75

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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.