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Finding the Fourth Proportional to 472,214.20, 708,321.30 and 313,929.40

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Solution

The fourth proportional to 472,214.20, 708,321.30 and 313,929.40 is: 470,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,214.20 : 708,321.30 = 313,929.40 : x
  2. Step 2: Convert to fraction form
    472,214.20/708,321.30 = 313,929.40/x
  3. Step 3: Cross multiply
    472,214.20x = 708,321.30 × 313,929.40
  4. Step 4: Simplify right side
    472,214.20x = 222,362,880,716.22
  5. Step 5: Solve for x
    x = 222,362,880,716.22/472,214.20
  6. Step 6: Final answer
    x = 470,894.10

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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.