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Finding the Fourth Proportional to 390,216.30, 585,324.45 and 342,005.10

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Solution

The fourth proportional to 390,216.30, 585,324.45 and 342,005.10 is: 513,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,216.30 : 585,324.45 = 342,005.10 : x
  2. Step 2: Convert to fraction form
    390,216.30/585,324.45 = 342,005.10/x
  3. Step 3: Cross multiply
    390,216.30x = 585,324.45 × 342,005.10
  4. Step 4: Simplify right side
    390,216.30x = 200,183,947,054.70
  5. Step 5: Solve for x
    x = 200,183,947,054.70/390,216.30
  6. Step 6: Final answer
    x = 513,007.65

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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.