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Finding the Fourth Proportional to 472,359.69, 708,785.55 and 206,147.10

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Solution

The fourth proportional to 472,359.69, 708,785.55 and 206,147.10 is: 309,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,359.69 : 708,785.55 = 206,147.10 : x
  2. Step 2: Convert to fraction form
    472,359.69/708,785.55 = 206,147.10/x
  3. Step 3: Cross multiply
    472,359.69x = 708,785.55 × 206,147.10
  4. Step 4: Simplify right side
    472,359.69x = 146,114,085,654.41
  5. Step 5: Solve for x
    x = 146,114,085,654.41/472,359.69
  6. Step 6: Final answer
    x = 309,328.02

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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.