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Finding the Fourth Proportional to 390,215.80, 585,323.70 and 342,004.60

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Solution

The fourth proportional to 390,215.80, 585,323.70 and 342,004.60 is: 513,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,215.80 : 585,323.70 = 342,004.60 : x
  2. Step 2: Convert to fraction form
    390,215.80/585,323.70 = 342,004.60/x
  3. Step 3: Cross multiply
    390,215.80x = 585,323.70 × 342,004.60
  4. Step 4: Simplify right side
    390,215.80x = 200,183,397,889.02
  5. Step 5: Solve for x
    x = 200,183,397,889.02/390,215.80
  6. Step 6: Final answer
    x = 513,006.90

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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.