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Finding the Fourth Proportional to 315,358.70, 472,260.45 and 209,605.10

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Solution

The fourth proportional to 315,358.70, 472,260.45 and 209,605.10 is: 313,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,358.70 : 472,260.45 = 209,605.10 : x
  2. Step 2: Convert to fraction form
    315,358.70/472,260.45 = 209,605.10/x
  3. Step 3: Cross multiply
    315,358.70x = 472,260.45 × 209,605.10
  4. Step 4: Simplify right side
    315,358.70x = 98,988,198,848.30
  5. Step 5: Solve for x
    x = 98,988,198,848.30/315,358.70
  6. Step 6: Final answer
    x = 313,890.81

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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.